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Finding the Fourth Proportional to 4,326, 6,489.96 and 1,247.76

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Solution

The fourth proportional to 4,326, 6,489.96 and 1,247.76 is: 1,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326 : 6,489.96 = 1,247.76 : x
  2. Step 2: Convert to fraction form
    4,326/6,489.96 = 1,247.76/x
  3. Step 3: Cross multiply
    4,326x = 6,489.96 × 1,247.76
  4. Step 4: Simplify right side
    4,326x = 8,097,912.49
  5. Step 5: Solve for x
    x = 8,097,912.49/4,326
  6. Step 6: Final answer
    x = 1,871.92

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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.