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Finding the Fourth Proportional to 15,285.28, 21,090 and 9,694.24

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Solution

The fourth proportional to 15,285.28, 21,090 and 9,694.24 is: 13,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,285.28 : 21,090 = 9,694.24 : x
  2. Step 2: Convert to fraction form
    15,285.28/21,090 = 9,694.24/x
  3. Step 3: Cross multiply
    15,285.28x = 21,090 × 9,694.24
  4. Step 4: Simplify right side
    15,285.28x = 204,451,521.60
  5. Step 5: Solve for x
    x = 204,451,521.60/15,285.28
  6. Step 6: Final answer
    x = 13,375.71

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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.