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Finding the Fourth Proportional to 6,630.96, 9,151.08 and 3,647.16

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Solution

The fourth proportional to 6,630.96, 9,151.08 and 3,647.16 is: 5,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.96 : 9,151.08 = 3,647.16 : x
  2. Step 2: Convert to fraction form
    6,630.96/9,151.08 = 3,647.16/x
  3. Step 3: Cross multiply
    6,630.96x = 9,151.08 × 3,647.16
  4. Step 4: Simplify right side
    6,630.96x = 33,375,452.93
  5. Step 5: Solve for x
    x = 33,375,452.93/6,630.96
  6. Step 6: Final answer
    x = 5,033.28

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1.5x scale

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.