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Finding the Fourth Proportional to 31,830.80, 47,731.80 and 12,102.80

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Solution

The fourth proportional to 31,830.80, 47,731.80 and 12,102.80 is: 18,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,830.80 : 47,731.80 = 12,102.80 : x
  2. Step 2: Convert to fraction form
    31,830.80/47,731.80 = 12,102.80/x
  3. Step 3: Cross multiply
    31,830.80x = 47,731.80 × 12,102.80
  4. Step 4: Simplify right side
    31,830.80x = 577,688,429.04
  5. Step 5: Solve for x
    x = 577,688,429.04/31,830.80
  6. Step 6: Final answer
    x = 18,148.72

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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.