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Finding the Fourth Proportional to 5,170.16, 7,134.89 and 2,931.99

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Solution

The fourth proportional to 5,170.16, 7,134.89 and 2,931.99 is: 4,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.16 : 7,134.89 = 2,931.99 : x
  2. Step 2: Convert to fraction form
    5,170.16/7,134.89 = 2,931.99/x
  3. Step 3: Cross multiply
    5,170.16x = 7,134.89 × 2,931.99
  4. Step 4: Simplify right side
    5,170.16x = 20,919,426.13
  5. Step 5: Solve for x
    x = 20,919,426.13/5,170.16
  6. Step 6: Final answer
    x = 4,046.19

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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.