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Finding the Fourth Proportional to 11,859.59, 16,365.76 and 6,820.38

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Solution

The fourth proportional to 11,859.59, 16,365.76 and 6,820.38 is: 9,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.59 : 16,365.76 = 6,820.38 : x
  2. Step 2: Convert to fraction form
    11,859.59/16,365.76 = 6,820.38/x
  3. Step 3: Cross multiply
    11,859.59x = 16,365.76 × 6,820.38
  4. Step 4: Simplify right side
    11,859.59x = 111,620,685.14
  5. Step 5: Solve for x
    x = 111,620,685.14/11,859.59
  6. Step 6: Final answer
    x = 9,411.85

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.