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Finding the Fourth Proportional to 7,171.88, 10,748.10 and 5,329.94

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Solution

The fourth proportional to 7,171.88, 10,748.10 and 5,329.94 is: 7,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.88 : 10,748.10 = 5,329.94 : x
  2. Step 2: Convert to fraction form
    7,171.88/10,748.10 = 5,329.94/x
  3. Step 3: Cross multiply
    7,171.88x = 10,748.10 × 5,329.94
  4. Step 4: Simplify right side
    7,171.88x = 57,286,728.11
  5. Step 5: Solve for x
    x = 57,286,728.11/7,171.88
  6. Step 6: Final answer
    x = 7,987.69

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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.