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Finding the Fourth Proportional to 5,169.70, 7,133.71 and 2,931.78

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Solution

The fourth proportional to 5,169.70, 7,133.71 and 2,931.78 is: 4,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.70 : 7,133.71 = 2,931.78 : x
  2. Step 2: Convert to fraction form
    5,169.70/7,133.71 = 2,931.78/x
  3. Step 3: Cross multiply
    5,169.70x = 7,133.71 × 2,931.78
  4. Step 4: Simplify right side
    5,169.70x = 20,914,468.30
  5. Step 5: Solve for x
    x = 20,914,468.30/5,169.70
  6. Step 6: Final answer
    x = 4,045.59

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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.