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Finding the Fourth Proportional to 12,326.38, 18,471.24 and 7,390.24

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Solution

The fourth proportional to 12,326.38, 18,471.24 and 7,390.24 is: 11,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.38 : 18,471.24 = 7,390.24 : x
  2. Step 2: Convert to fraction form
    12,326.38/18,471.24 = 7,390.24/x
  3. Step 3: Cross multiply
    12,326.38x = 18,471.24 × 7,390.24
  4. Step 4: Simplify right side
    12,326.38x = 136,506,850.52
  5. Step 5: Solve for x
    x = 136,506,850.52/12,326.38
  6. Step 6: Final answer
    x = 11,074.37

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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.