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Finding the Fourth Proportional to 5,909, 8,862.54 and 4,172.36

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Solution

The fourth proportional to 5,909, 8,862.54 and 4,172.36 is: 6,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909 : 8,862.54 = 4,172.36 : x
  2. Step 2: Convert to fraction form
    5,909/8,862.54 = 4,172.36/x
  3. Step 3: Cross multiply
    5,909x = 8,862.54 × 4,172.36
  4. Step 4: Simplify right side
    5,909x = 36,977,707.39
  5. Step 5: Solve for x
    x = 36,977,707.39/5,909
  6. Step 6: Final answer
    x = 6,257.86

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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.