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Finding the Fourth Proportional to 31,143.92, 42,978.30 and 16,996.64

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Solution

The fourth proportional to 31,143.92, 42,978.30 and 16,996.64 is: 23,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,143.92 : 42,978.30 = 16,996.64 : x
  2. Step 2: Convert to fraction form
    31,143.92/42,978.30 = 16,996.64/x
  3. Step 3: Cross multiply
    31,143.92x = 42,978.30 × 16,996.64
  4. Step 4: Simplify right side
    31,143.92x = 730,486,692.91
  5. Step 5: Solve for x
    x = 730,486,692.91/31,143.92
  6. Step 6: Final answer
    x = 23,455.19

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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.