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Finding the Fourth Proportional to 31,876.80, 47,815.20 and 8,505.60

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Solution

The fourth proportional to 31,876.80, 47,815.20 and 8,505.60 is: 12,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876.80 : 47,815.20 = 8,505.60 : x
  2. Step 2: Convert to fraction form
    31,876.80/47,815.20 = 8,505.60/x
  3. Step 3: Cross multiply
    31,876.80x = 47,815.20 × 8,505.60
  4. Step 4: Simplify right side
    31,876.80x = 406,696,965.12
  5. Step 5: Solve for x
    x = 406,696,965.12/31,876.80
  6. Step 6: Final answer
    x = 12,758.40

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1.5x scale

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.