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Finding the Fourth Proportional to 7,147.57, 10,725 and 3,403.58

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Solution

The fourth proportional to 7,147.57, 10,725 and 3,403.58 is: 5,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.57 : 10,725 = 3,403.58 : x
  2. Step 2: Convert to fraction form
    7,147.57/10,725 = 3,403.58/x
  3. Step 3: Cross multiply
    7,147.57x = 10,725 × 3,403.58
  4. Step 4: Simplify right side
    7,147.57x = 36,503,395.50
  5. Step 5: Solve for x
    x = 36,503,395.50/7,147.57
  6. Step 6: Final answer
    x = 5,107.11

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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.