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Finding the Fourth Proportional to 7,427.40, 10,249.78 and 4,115.40

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Solution

The fourth proportional to 7,427.40, 10,249.78 and 4,115.40 is: 5,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.40 : 10,249.78 = 4,115.40 : x
  2. Step 2: Convert to fraction form
    7,427.40/10,249.78 = 4,115.40/x
  3. Step 3: Cross multiply
    7,427.40x = 10,249.78 × 4,115.40
  4. Step 4: Simplify right side
    7,427.40x = 42,181,944.61
  5. Step 5: Solve for x
    x = 42,181,944.61/7,427.40
  6. Step 6: Final answer
    x = 5,679.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.