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Finding the Fourth Proportional to 6,437.22, 9,640.02 and 3,139.70

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Solution

The fourth proportional to 6,437.22, 9,640.02 and 3,139.70 is: 4,701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.22 : 9,640.02 = 3,139.70 : x
  2. Step 2: Convert to fraction form
    6,437.22/9,640.02 = 3,139.70/x
  3. Step 3: Cross multiply
    6,437.22x = 9,640.02 × 3,139.70
  4. Step 4: Simplify right side
    6,437.22x = 30,266,770.79
  5. Step 5: Solve for x
    x = 30,266,770.79/6,437.22
  6. Step 6: Final answer
    x = 4,701.84

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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.