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Finding the Fourth Proportional to 15,892.92, 21,932.34 and 9,178.62

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Solution

The fourth proportional to 15,892.92, 21,932.34 and 9,178.62 is: 12,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.92 : 21,932.34 = 9,178.62 : x
  2. Step 2: Convert to fraction form
    15,892.92/21,932.34 = 9,178.62/x
  3. Step 3: Cross multiply
    15,892.92x = 21,932.34 × 9,178.62
  4. Step 4: Simplify right side
    15,892.92x = 201,308,614.57
  5. Step 5: Solve for x
    x = 201,308,614.57/15,892.92
  6. Step 6: Final answer
    x = 12,666.56

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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.