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Finding the Fourth Proportional to 22,472.94, 31,007.13 and 13,739.40

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Solution

The fourth proportional to 22,472.94, 31,007.13 and 13,739.40 is: 18,956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.94 : 31,007.13 = 13,739.40 : x
  2. Step 2: Convert to fraction form
    22,472.94/31,007.13 = 13,739.40/x
  3. Step 3: Cross multiply
    22,472.94x = 31,007.13 × 13,739.40
  4. Step 4: Simplify right side
    22,472.94x = 426,019,361.92
  5. Step 5: Solve for x
    x = 426,019,361.92/22,472.94
  6. Step 6: Final answer
    x = 18,956.99

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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.