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Finding the Fourth Proportional to 6,357.40, 8,770.72 and 3,966

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Solution

The fourth proportional to 6,357.40, 8,770.72 and 3,966 is: 5,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.40 : 8,770.72 = 3,966 : x
  2. Step 2: Convert to fraction form
    6,357.40/8,770.72 = 3,966/x
  3. Step 3: Cross multiply
    6,357.40x = 8,770.72 × 3,966
  4. Step 4: Simplify right side
    6,357.40x = 34,784,675.52
  5. Step 5: Solve for x
    x = 34,784,675.52/6,357.40
  6. Step 6: Final answer
    x = 5,471.53

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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.