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Finding the Fourth Proportional to 6,625.50, 9,143.20 and 3,641.50

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Solution

The fourth proportional to 6,625.50, 9,143.20 and 3,641.50 is: 5,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.50 : 9,143.20 = 3,641.50 : x
  2. Step 2: Convert to fraction form
    6,625.50/9,143.20 = 3,641.50/x
  3. Step 3: Cross multiply
    6,625.50x = 9,143.20 × 3,641.50
  4. Step 4: Simplify right side
    6,625.50x = 33,294,962.80
  5. Step 5: Solve for x
    x = 33,294,962.80/6,625.50
  6. Step 6: Final answer
    x = 5,025.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.