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Finding the Fourth Proportional to 5,157.64, 7,734.48 and 2,385.76

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Solution

The fourth proportional to 5,157.64, 7,734.48 and 2,385.76 is: 3,577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.64 : 7,734.48 = 2,385.76 : x
  2. Step 2: Convert to fraction form
    5,157.64/7,734.48 = 2,385.76/x
  3. Step 3: Cross multiply
    5,157.64x = 7,734.48 × 2,385.76
  4. Step 4: Simplify right side
    5,157.64x = 18,452,613.00
  5. Step 5: Solve for x
    x = 18,452,613.00/5,157.64
  6. Step 6: Final answer
    x = 3,577.72

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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.