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Finding the Fourth Proportional to 5,691.13, 7,853.65 and 3,173.16

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Solution

The fourth proportional to 5,691.13, 7,853.65 and 3,173.16 is: 4,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.13 : 7,853.65 = 3,173.16 : x
  2. Step 2: Convert to fraction form
    5,691.13/7,853.65 = 3,173.16/x
  3. Step 3: Cross multiply
    5,691.13x = 7,853.65 × 3,173.16
  4. Step 4: Simplify right side
    5,691.13x = 24,920,888.03
  5. Step 5: Solve for x
    x = 24,920,888.03/5,691.13
  6. Step 6: Final answer
    x = 4,378.90

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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.