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Finding the Fourth Proportional to 6,351, 8,761.45 and 4,113.60

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Solution

The fourth proportional to 6,351, 8,761.45 and 4,113.60 is: 5,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351 : 8,761.45 = 4,113.60 : x
  2. Step 2: Convert to fraction form
    6,351/8,761.45 = 4,113.60/x
  3. Step 3: Cross multiply
    6,351x = 8,761.45 × 4,113.60
  4. Step 4: Simplify right side
    6,351x = 36,041,100.72
  5. Step 5: Solve for x
    x = 36,041,100.72/6,351
  6. Step 6: Final answer
    x = 5,674.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.