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Finding the Fourth Proportional to 4,761.59, 7,137.42 and 1,989.86

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Solution

The fourth proportional to 4,761.59, 7,137.42 and 1,989.86 is: 2,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.59 : 7,137.42 = 1,989.86 : x
  2. Step 2: Convert to fraction form
    4,761.59/7,137.42 = 1,989.86/x
  3. Step 3: Cross multiply
    4,761.59x = 7,137.42 × 1,989.86
  4. Step 4: Simplify right side
    4,761.59x = 14,202,466.56
  5. Step 5: Solve for x
    x = 14,202,466.56/4,761.59
  6. Step 6: Final answer
    x = 2,982.72

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1.5x scale

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.