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Finding the Fourth Proportional to 7,151.70, 9,869.61 and 4,167.03

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Solution

The fourth proportional to 7,151.70, 9,869.61 and 4,167.03 is: 5,750.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.70 : 9,869.61 = 4,167.03 : x
  2. Step 2: Convert to fraction form
    7,151.70/9,869.61 = 4,167.03/x
  3. Step 3: Cross multiply
    7,151.70x = 9,869.61 × 4,167.03
  4. Step 4: Simplify right side
    7,151.70x = 41,126,960.96
  5. Step 5: Solve for x
    x = 41,126,960.96/7,151.70
  6. Step 6: Final answer
    x = 5,750.66

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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.