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Finding the Fourth Proportional to 5,493.81, 8,241.19 and 1,545.10

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Solution

The fourth proportional to 5,493.81, 8,241.19 and 1,545.10 is: 2,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.81 : 8,241.19 = 1,545.10 : x
  2. Step 2: Convert to fraction form
    5,493.81/8,241.19 = 1,545.10/x
  3. Step 3: Cross multiply
    5,493.81x = 8,241.19 × 1,545.10
  4. Step 4: Simplify right side
    5,493.81x = 12,733,421.46
  5. Step 5: Solve for x
    x = 12,733,421.46/5,493.81
  6. Step 6: Final answer
    x = 2,317.78

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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.