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Finding the Fourth Proportional to 5,691.12, 7,853.17 and 3,173.00

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Solution

The fourth proportional to 5,691.12, 7,853.17 and 3,173.00 is: 4,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.12 : 7,853.17 = 3,173.00 : x
  2. Step 2: Convert to fraction form
    5,691.12/7,853.17 = 3,173.00/x
  3. Step 3: Cross multiply
    5,691.12x = 7,853.17 × 3,173.00
  4. Step 4: Simplify right side
    5,691.12x = 24,918,102.63
  5. Step 5: Solve for x
    x = 24,918,102.63/5,691.12
  6. Step 6: Final answer
    x = 4,378.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.