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Finding the Fourth Proportional to 31,834.32, 47,772.21 and 12,113.04

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Solution

The fourth proportional to 31,834.32, 47,772.21 and 12,113.04 is: 18,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834.32 : 47,772.21 = 12,113.04 : x
  2. Step 2: Convert to fraction form
    31,834.32/47,772.21 = 12,113.04/x
  3. Step 3: Cross multiply
    31,834.32x = 47,772.21 × 12,113.04
  4. Step 4: Simplify right side
    31,834.32x = 578,666,690.62
  5. Step 5: Solve for x
    x = 578,666,690.62/31,834.32
  6. Step 6: Final answer
    x = 18,177.45

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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.