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Finding the Fourth Proportional to 9,172.47, 13,756 and 3,907.42

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Solution

The fourth proportional to 9,172.47, 13,756 and 3,907.42 is: 5,859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.47 : 13,756 = 3,907.42 : x
  2. Step 2: Convert to fraction form
    9,172.47/13,756 = 3,907.42/x
  3. Step 3: Cross multiply
    9,172.47x = 13,756 × 3,907.42
  4. Step 4: Simplify right side
    9,172.47x = 53,750,469.52
  5. Step 5: Solve for x
    x = 53,750,469.52/9,172.47
  6. Step 6: Final answer
    x = 5,859.98

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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.