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Finding the Fourth Proportional to 31,808.40, 47,761.20 and 24,421.20

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Solution

The fourth proportional to 31,808.40, 47,761.20 and 24,421.20 is: 36,669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.40 : 47,761.20 = 24,421.20 : x
  2. Step 2: Convert to fraction form
    31,808.40/47,761.20 = 24,421.20/x
  3. Step 3: Cross multiply
    31,808.40x = 47,761.20 × 24,421.20
  4. Step 4: Simplify right side
    31,808.40x = 1,166,385,817.44
  5. Step 5: Solve for x
    x = 1,166,385,817.44/31,808.40
  6. Step 6: Final answer
    x = 36,669.11

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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.