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Finding the Fourth Proportional to 3,714.68, 5,572.56 and 1,117.82

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Solution

The fourth proportional to 3,714.68, 5,572.56 and 1,117.82 is: 1,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.68 : 5,572.56 = 1,117.82 : x
  2. Step 2: Convert to fraction form
    3,714.68/5,572.56 = 1,117.82/x
  3. Step 3: Cross multiply
    3,714.68x = 5,572.56 × 1,117.82
  4. Step 4: Simplify right side
    3,714.68x = 6,229,119.02
  5. Step 5: Solve for x
    x = 6,229,119.02/3,714.68
  6. Step 6: Final answer
    x = 1,676.89

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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.