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Finding the Fourth Proportional to 11,858.51, 16,363.08 and 6,820.81

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Solution

The fourth proportional to 11,858.51, 16,363.08 and 6,820.81 is: 9,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.51 : 16,363.08 = 6,820.81 : x
  2. Step 2: Convert to fraction form
    11,858.51/16,363.08 = 6,820.81/x
  3. Step 3: Cross multiply
    11,858.51x = 16,363.08 × 6,820.81
  4. Step 4: Simplify right side
    11,858.51x = 111,609,459.69
  5. Step 5: Solve for x
    x = 111,609,459.69/11,858.51
  6. Step 6: Final answer
    x = 9,411.76

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Half scale
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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.