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Finding the Fourth Proportional to 15,340, 21,160.54 and 9,665

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Solution

The fourth proportional to 15,340, 21,160.54 and 9,665 is: 13,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,340 : 21,160.54 = 9,665 : x
  2. Step 2: Convert to fraction form
    15,340/21,160.54 = 9,665/x
  3. Step 3: Cross multiply
    15,340x = 21,160.54 × 9,665
  4. Step 4: Simplify right side
    15,340x = 204,516,619.10
  5. Step 5: Solve for x
    x = 204,516,619.10/15,340
  6. Step 6: Final answer
    x = 13,332.24

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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.