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Finding the Fourth Proportional to 4,977.34, 7,459.77 and 2,512.78

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Solution

The fourth proportional to 4,977.34, 7,459.77 and 2,512.78 is: 3,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.34 : 7,459.77 = 2,512.78 : x
  2. Step 2: Convert to fraction form
    4,977.34/7,459.77 = 2,512.78/x
  3. Step 3: Cross multiply
    4,977.34x = 7,459.77 × 2,512.78
  4. Step 4: Simplify right side
    4,977.34x = 18,744,760.86
  5. Step 5: Solve for x
    x = 18,744,760.86/4,977.34
  6. Step 6: Final answer
    x = 3,766.02

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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.