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Finding the Fourth Proportional to 31,822.92, 47,740.50 and 12,099.90

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Solution

The fourth proportional to 31,822.92, 47,740.50 and 12,099.90 is: 18,152.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,822.92 : 47,740.50 = 12,099.90 : x
  2. Step 2: Convert to fraction form
    31,822.92/47,740.50 = 12,099.90/x
  3. Step 3: Cross multiply
    31,822.92x = 47,740.50 × 12,099.90
  4. Step 4: Simplify right side
    31,822.92x = 577,655,275.95
  5. Step 5: Solve for x
    x = 577,655,275.95/31,822.92
  6. Step 6: Final answer
    x = 18,152.18

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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.