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Finding the Fourth Proportional to 12,475.42, 18,713.08 and 5,078.13

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Solution

The fourth proportional to 12,475.42, 18,713.08 and 5,078.13 is: 7,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.42 : 18,713.08 = 5,078.13 : x
  2. Step 2: Convert to fraction form
    12,475.42/18,713.08 = 5,078.13/x
  3. Step 3: Cross multiply
    12,475.42x = 18,713.08 × 5,078.13
  4. Step 4: Simplify right side
    12,475.42x = 95,027,452.94
  5. Step 5: Solve for x
    x = 95,027,452.94/12,475.42
  6. Step 6: Final answer
    x = 7,617.17

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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.