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Finding the Fourth Proportional to 5,291.64, 7,921.85 and 3,911.15

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Solution

The fourth proportional to 5,291.64, 7,921.85 and 3,911.15 is: 5,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.64 : 7,921.85 = 3,911.15 : x
  2. Step 2: Convert to fraction form
    5,291.64/7,921.85 = 3,911.15/x
  3. Step 3: Cross multiply
    5,291.64x = 7,921.85 × 3,911.15
  4. Step 4: Simplify right side
    5,291.64x = 30,983,543.88
  5. Step 5: Solve for x
    x = 30,983,543.88/5,291.64
  6. Step 6: Final answer
    x = 5,855.19

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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.