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Finding the Fourth Proportional to 5,691.76, 7,853.62 and 3,173.67

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Solution

The fourth proportional to 5,691.76, 7,853.62 and 3,173.67 is: 4,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.76 : 7,853.62 = 3,173.67 : x
  2. Step 2: Convert to fraction form
    5,691.76/7,853.62 = 3,173.67/x
  3. Step 3: Cross multiply
    5,691.76x = 7,853.62 × 3,173.67
  4. Step 4: Simplify right side
    5,691.76x = 24,924,798.19
  5. Step 5: Solve for x
    x = 24,924,798.19/5,691.76
  6. Step 6: Final answer
    x = 4,379.10

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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.