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Finding the Fourth Proportional to 5,243.41, 7,865.14 and 1,545.69

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Solution

The fourth proportional to 5,243.41, 7,865.14 and 1,545.69 is: 2,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.41 : 7,865.14 = 1,545.69 : x
  2. Step 2: Convert to fraction form
    5,243.41/7,865.14 = 1,545.69/x
  3. Step 3: Cross multiply
    5,243.41x = 7,865.14 × 1,545.69
  4. Step 4: Simplify right side
    5,243.41x = 12,157,068.25
  5. Step 5: Solve for x
    x = 12,157,068.25/5,243.41
  6. Step 6: Final answer
    x = 2,318.54

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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.