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Finding the Fourth Proportional to 5,689.83, 7,851.84 and 3,171.93

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Solution

The fourth proportional to 5,689.83, 7,851.84 and 3,171.93 is: 4,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.83 : 7,851.84 = 3,171.93 : x
  2. Step 2: Convert to fraction form
    5,689.83/7,851.84 = 3,171.93/x
  3. Step 3: Cross multiply
    5,689.83x = 7,851.84 × 3,171.93
  4. Step 4: Simplify right side
    5,689.83x = 24,905,486.85
  5. Step 5: Solve for x
    x = 24,905,486.85/5,689.83
  6. Step 6: Final answer
    x = 4,377.19

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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.