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Finding the Fourth Proportional to 6,448.10, 9,672 and 3,487.95

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Solution

The fourth proportional to 6,448.10, 9,672 and 3,487.95 is: 5,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.10 : 9,672 = 3,487.95 : x
  2. Step 2: Convert to fraction form
    6,448.10/9,672 = 3,487.95/x
  3. Step 3: Cross multiply
    6,448.10x = 9,672 × 3,487.95
  4. Step 4: Simplify right side
    6,448.10x = 33,735,452.40
  5. Step 5: Solve for x
    x = 33,735,452.40/6,448.10
  6. Step 6: Final answer
    x = 5,231.85

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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.