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Finding the Fourth Proportional to 5,493.93, 8,240.89 and 3,648.65

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Solution

The fourth proportional to 5,493.93, 8,240.89 and 3,648.65 is: 5,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.93 : 8,240.89 = 3,648.65 : x
  2. Step 2: Convert to fraction form
    5,493.93/8,240.89 = 3,648.65/x
  3. Step 3: Cross multiply
    5,493.93x = 8,240.89 × 3,648.65
  4. Step 4: Simplify right side
    5,493.93x = 30,068,079.81
  5. Step 5: Solve for x
    x = 30,068,079.81/5,493.93
  6. Step 6: Final answer
    x = 5,472.97

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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.