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Finding the Fourth Proportional to 5,251, 7,247.10 and 3,387.64

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Solution

The fourth proportional to 5,251, 7,247.10 and 3,387.64 is: 4,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251 : 7,247.10 = 3,387.64 : x
  2. Step 2: Convert to fraction form
    5,251/7,247.10 = 3,387.64/x
  3. Step 3: Cross multiply
    5,251x = 7,247.10 × 3,387.64
  4. Step 4: Simplify right side
    5,251x = 24,550,565.84
  5. Step 5: Solve for x
    x = 24,550,565.84/5,251
  6. Step 6: Final answer
    x = 4,675.41

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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.