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Finding the Fourth Proportional to 22,472.66, 31,006.74 and 13,739.12

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Solution

The fourth proportional to 22,472.66, 31,006.74 and 13,739.12 is: 18,956.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.66 : 31,006.74 = 13,739.12 : x
  2. Step 2: Convert to fraction form
    22,472.66/31,006.74 = 13,739.12/x
  3. Step 3: Cross multiply
    22,472.66x = 31,006.74 × 13,739.12
  4. Step 4: Simplify right side
    22,472.66x = 426,005,321.67
  5. Step 5: Solve for x
    x = 426,005,321.67/22,472.66
  6. Step 6: Final answer
    x = 18,956.60

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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.