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Finding the Fourth Proportional to 10,009.13, 13,813.82 and 5,817.38

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Solution

The fourth proportional to 10,009.13, 13,813.82 and 5,817.38 is: 8,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.13 : 13,813.82 = 5,817.38 : x
  2. Step 2: Convert to fraction form
    10,009.13/13,813.82 = 5,817.38/x
  3. Step 3: Cross multiply
    10,009.13x = 13,813.82 × 5,817.38
  4. Step 4: Simplify right side
    10,009.13x = 80,360,142.04
  5. Step 5: Solve for x
    x = 80,360,142.04/10,009.13
  6. Step 6: Final answer
    x = 8,028.69

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Half scale
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Double 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.