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Finding the Fourth Proportional to 7,761.58, 11,640.21 and 3,143.50

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Solution

The fourth proportional to 7,761.58, 11,640.21 and 3,143.50 is: 4,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.58 : 11,640.21 = 3,143.50 : x
  2. Step 2: Convert to fraction form
    7,761.58/11,640.21 = 3,143.50/x
  3. Step 3: Cross multiply
    7,761.58x = 11,640.21 × 3,143.50
  4. Step 4: Simplify right side
    7,761.58x = 36,591,000.14
  5. Step 5: Solve for x
    x = 36,591,000.14/7,761.58
  6. Step 6: Final answer
    x = 4,714.38

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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.