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Finding the Fourth Proportional to 5,149.72, 7,724.57 and 4,454.32

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Solution

The fourth proportional to 5,149.72, 7,724.57 and 4,454.32 is: 6,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.72 : 7,724.57 = 4,454.32 : x
  2. Step 2: Convert to fraction form
    5,149.72/7,724.57 = 4,454.32/x
  3. Step 3: Cross multiply
    5,149.72x = 7,724.57 × 4,454.32
  4. Step 4: Simplify right side
    5,149.72x = 34,407,712.95
  5. Step 5: Solve for x
    x = 34,407,712.95/5,149.72
  6. Step 6: Final answer
    x = 6,681.47

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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.