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Finding the Fourth Proportional to 15,530.43, 21,432 and 8,456.86

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Solution

The fourth proportional to 15,530.43, 21,432 and 8,456.86 is: 11,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.43 : 21,432 = 8,456.86 : x
  2. Step 2: Convert to fraction form
    15,530.43/21,432 = 8,456.86/x
  3. Step 3: Cross multiply
    15,530.43x = 21,432 × 8,456.86
  4. Step 4: Simplify right side
    15,530.43x = 181,247,423.52
  5. Step 5: Solve for x
    x = 181,247,423.52/15,530.43
  6. Step 6: Final answer
    x = 11,670.47

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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.