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Finding the Fourth Proportional to 15,805.92, 21,808.08 and 9,516

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Solution

The fourth proportional to 15,805.92, 21,808.08 and 9,516 is: 13,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.92 : 21,808.08 = 9,516 : x
  2. Step 2: Convert to fraction form
    15,805.92/21,808.08 = 9,516/x
  3. Step 3: Cross multiply
    15,805.92x = 21,808.08 × 9,516
  4. Step 4: Simplify right side
    15,805.92x = 207,525,689.28
  5. Step 5: Solve for x
    x = 207,525,689.28/15,805.92
  6. Step 6: Final answer
    x = 13,129.62

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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.