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Finding the Fourth Proportional to 8,654.87, 12,980.93 and 2,414.23

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Solution

The fourth proportional to 8,654.87, 12,980.93 and 2,414.23 is: 3,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.87 : 12,980.93 = 2,414.23 : x
  2. Step 2: Convert to fraction form
    8,654.87/12,980.93 = 2,414.23/x
  3. Step 3: Cross multiply
    8,654.87x = 12,980.93 × 2,414.23
  4. Step 4: Simplify right side
    8,654.87x = 31,338,906.11
  5. Step 5: Solve for x
    x = 31,338,906.11/8,654.87
  6. Step 6: Final answer
    x = 3,620.96

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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.