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Finding the Fourth Proportional to 5,393.76, 7,439.76 and 3,294.24

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Solution

The fourth proportional to 5,393.76, 7,439.76 and 3,294.24 is: 4,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.76 : 7,439.76 = 3,294.24 : x
  2. Step 2: Convert to fraction form
    5,393.76/7,439.76 = 3,294.24/x
  3. Step 3: Cross multiply
    5,393.76x = 7,439.76 × 3,294.24
  4. Step 4: Simplify right side
    5,393.76x = 24,508,354.98
  5. Step 5: Solve for x
    x = 24,508,354.98/5,393.76
  6. Step 6: Final answer
    x = 4,543.83

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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.