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Finding the Fourth Proportional to 6,627.90, 9,962.51 and 4,178.46

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Solution

The fourth proportional to 6,627.90, 9,962.51 and 4,178.46 is: 6,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.90 : 9,962.51 = 4,178.46 : x
  2. Step 2: Convert to fraction form
    6,627.90/9,962.51 = 4,178.46/x
  3. Step 3: Cross multiply
    6,627.90x = 9,962.51 × 4,178.46
  4. Step 4: Simplify right side
    6,627.90x = 41,627,949.53
  5. Step 5: Solve for x
    x = 41,627,949.53/6,627.90
  6. Step 6: Final answer
    x = 6,280.71

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1.5x scale

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.