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Finding the Fourth Proportional to 31,381.65, 47,068.80 and 11,654.91

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Solution

The fourth proportional to 31,381.65, 47,068.80 and 11,654.91 is: 17,481.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,381.65 : 47,068.80 = 11,654.91 : x
  2. Step 2: Convert to fraction form
    31,381.65/47,068.80 = 11,654.91/x
  3. Step 3: Cross multiply
    31,381.65x = 47,068.80 × 11,654.91
  4. Step 4: Simplify right side
    31,381.65x = 548,582,627.81
  5. Step 5: Solve for x
    x = 548,582,627.81/31,381.65
  6. Step 6: Final answer
    x = 17,481.00

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