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Finding the Fourth Proportional to 3,502.68, 5,278.02 and 2,899.89

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Solution

The fourth proportional to 3,502.68, 5,278.02 and 2,899.89 is: 4,369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.68 : 5,278.02 = 2,899.89 : x
  2. Step 2: Convert to fraction form
    3,502.68/5,278.02 = 2,899.89/x
  3. Step 3: Cross multiply
    3,502.68x = 5,278.02 × 2,899.89
  4. Step 4: Simplify right side
    3,502.68x = 15,305,677.42
  5. Step 5: Solve for x
    x = 15,305,677.42/3,502.68
  6. Step 6: Final answer
    x = 4,369.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.