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Finding the Fourth Proportional to 15,229.16, 21,016.80 and 8,516

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Solution

The fourth proportional to 15,229.16, 21,016.80 and 8,516 is: 11,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.16 : 21,016.80 = 8,516 : x
  2. Step 2: Convert to fraction form
    15,229.16/21,016.80 = 8,516/x
  3. Step 3: Cross multiply
    15,229.16x = 21,016.80 × 8,516
  4. Step 4: Simplify right side
    15,229.16x = 178,979,068.80
  5. Step 5: Solve for x
    x = 178,979,068.80/15,229.16
  6. Step 6: Final answer
    x = 11,752.39

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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.