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Finding the Fourth Proportional to 22,520.80, 31,079.90 and 12,962.14

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Solution

The fourth proportional to 22,520.80, 31,079.90 and 12,962.14 is: 17,888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.80 : 31,079.90 = 12,962.14 : x
  2. Step 2: Convert to fraction form
    22,520.80/31,079.90 = 12,962.14/x
  3. Step 3: Cross multiply
    22,520.80x = 31,079.90 × 12,962.14
  4. Step 4: Simplify right side
    22,520.80x = 402,862,144.52
  5. Step 5: Solve for x
    x = 402,862,144.52/22,520.80
  6. Step 6: Final answer
    x = 17,888.45

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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.