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Finding the Fourth Proportional to 5,147.42, 7,721.16 and 1,251.82

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Solution

The fourth proportional to 5,147.42, 7,721.16 and 1,251.82 is: 1,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.42 : 7,721.16 = 1,251.82 : x
  2. Step 2: Convert to fraction form
    5,147.42/7,721.16 = 1,251.82/x
  3. Step 3: Cross multiply
    5,147.42x = 7,721.16 × 1,251.82
  4. Step 4: Simplify right side
    5,147.42x = 9,665,502.51
  5. Step 5: Solve for x
    x = 9,665,502.51/5,147.42
  6. Step 6: Final answer
    x = 1,877.74

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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.