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Finding the Fourth Proportional to 31,801.60, 47,700.87 and 12,078.62

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Solution

The fourth proportional to 31,801.60, 47,700.87 and 12,078.62 is: 18,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,801.60 : 47,700.87 = 12,078.62 : x
  2. Step 2: Convert to fraction form
    31,801.60/47,700.87 = 12,078.62/x
  3. Step 3: Cross multiply
    31,801.60x = 47,700.87 × 12,078.62
  4. Step 4: Simplify right side
    31,801.60x = 576,160,682.40
  5. Step 5: Solve for x
    x = 576,160,682.40/31,801.60
  6. Step 6: Final answer
    x = 18,117.35

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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.