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Finding the Fourth Proportional to 21,148.71, 31,695.39 and 8,654.12

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Solution

The fourth proportional to 21,148.71, 31,695.39 and 8,654.12 is: 12,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.71 : 31,695.39 = 8,654.12 : x
  2. Step 2: Convert to fraction form
    21,148.71/31,695.39 = 8,654.12/x
  3. Step 3: Cross multiply
    21,148.71x = 31,695.39 × 8,654.12
  4. Step 4: Simplify right side
    21,148.71x = 274,295,550.03
  5. Step 5: Solve for x
    x = 274,295,550.03/21,148.71
  6. Step 6: Final answer
    x = 12,969.85

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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.