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Finding the Fourth Proportional to 5,461.38, 7,542.99 and 3,975.93

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Solution

The fourth proportional to 5,461.38, 7,542.99 and 3,975.93 is: 5,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.38 : 7,542.99 = 3,975.93 : x
  2. Step 2: Convert to fraction form
    5,461.38/7,542.99 = 3,975.93/x
  3. Step 3: Cross multiply
    5,461.38x = 7,542.99 × 3,975.93
  4. Step 4: Simplify right side
    5,461.38x = 29,990,400.23
  5. Step 5: Solve for x
    x = 29,990,400.23/5,461.38
  6. Step 6: Final answer
    x = 5,491.36

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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.