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Finding the Fourth Proportional to 5,248.52, 7,872.96 and 1,786.04

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Solution

The fourth proportional to 5,248.52, 7,872.96 and 1,786.04 is: 2,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.52 : 7,872.96 = 1,786.04 : x
  2. Step 2: Convert to fraction form
    5,248.52/7,872.96 = 1,786.04/x
  3. Step 3: Cross multiply
    5,248.52x = 7,872.96 × 1,786.04
  4. Step 4: Simplify right side
    5,248.52x = 14,061,421.48
  5. Step 5: Solve for x
    x = 14,061,421.48/5,248.52
  6. Step 6: Final answer
    x = 2,679.12

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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.