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Finding the Fourth Proportional to 30,952.86, 42,714.95 and 16,805.71

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Solution

The fourth proportional to 30,952.86, 42,714.95 and 16,805.71 is: 23,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.86 : 42,714.95 = 16,805.71 : x
  2. Step 2: Convert to fraction form
    30,952.86/42,714.95 = 16,805.71/x
  3. Step 3: Cross multiply
    30,952.86x = 42,714.95 × 16,805.71
  4. Step 4: Simplify right side
    30,952.86x = 717,854,997.59
  5. Step 5: Solve for x
    x = 717,854,997.59/30,952.86
  6. Step 6: Final answer
    x = 23,191.88

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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.