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Finding the Fourth Proportional to 12,640.30, 18,974.85 and 7,449.10

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Solution

The fourth proportional to 12,640.30, 18,974.85 and 7,449.10 is: 11,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.30 : 18,974.85 = 7,449.10 : x
  2. Step 2: Convert to fraction form
    12,640.30/18,974.85 = 7,449.10/x
  3. Step 3: Cross multiply
    12,640.30x = 18,974.85 × 7,449.10
  4. Step 4: Simplify right side
    12,640.30x = 141,345,555.14
  5. Step 5: Solve for x
    x = 141,345,555.14/12,640.30
  6. Step 6: Final answer
    x = 11,182.14

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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.