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Finding the Fourth Proportional to 31,872.06, 47,808 and 9,685.32

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Solution

The fourth proportional to 31,872.06, 47,808 and 9,685.32 is: 14,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872.06 : 47,808 = 9,685.32 : x
  2. Step 2: Convert to fraction form
    31,872.06/47,808 = 9,685.32/x
  3. Step 3: Cross multiply
    31,872.06x = 47,808 × 9,685.32
  4. Step 4: Simplify right side
    31,872.06x = 463,035,778.56
  5. Step 5: Solve for x
    x = 463,035,778.56/31,872.06
  6. Step 6: Final answer
    x = 14,527.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.