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Finding the Fourth Proportional to 6,447.40, 9,672.10 and 2,749.62

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Solution

The fourth proportional to 6,447.40, 9,672.10 and 2,749.62 is: 4,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.40 : 9,672.10 = 2,749.62 : x
  2. Step 2: Convert to fraction form
    6,447.40/9,672.10 = 2,749.62/x
  3. Step 3: Cross multiply
    6,447.40x = 9,672.10 × 2,749.62
  4. Step 4: Simplify right side
    6,447.40x = 26,594,599.60
  5. Step 5: Solve for x
    x = 26,594,599.60/6,447.40
  6. Step 6: Final answer
    x = 4,124.86

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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.