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Finding the Fourth Proportional to 31,776.16, 47,654.96 and 12,040.48

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Solution

The fourth proportional to 31,776.16, 47,654.96 and 12,040.48 is: 18,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.16 : 47,654.96 = 12,040.48 : x
  2. Step 2: Convert to fraction form
    31,776.16/47,654.96 = 12,040.48/x
  3. Step 3: Cross multiply
    31,776.16x = 47,654.96 × 12,040.48
  4. Step 4: Simplify right side
    31,776.16x = 573,788,592.78
  5. Step 5: Solve for x
    x = 573,788,592.78/31,776.16
  6. Step 6: Final answer
    x = 18,057.20

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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.