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Finding the Fourth Proportional to 6,446.60, 9,671.60 and 2,749.04

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Solution

The fourth proportional to 6,446.60, 9,671.60 and 2,749.04 is: 4,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.60 : 9,671.60 = 2,749.04 : x
  2. Step 2: Convert to fraction form
    6,446.60/9,671.60 = 2,749.04/x
  3. Step 3: Cross multiply
    6,446.60x = 9,671.60 × 2,749.04
  4. Step 4: Simplify right side
    6,446.60x = 26,587,615.26
  5. Step 5: Solve for x
    x = 26,587,615.26/6,446.60
  6. Step 6: Final answer
    x = 4,124.28

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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.