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Finding the Fourth Proportional to 6,266.40, 8,648.76 and 3,613.44

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Solution

The fourth proportional to 6,266.40, 8,648.76 and 3,613.44 is: 4,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.40 : 8,648.76 = 3,613.44 : x
  2. Step 2: Convert to fraction form
    6,266.40/8,648.76 = 3,613.44/x
  3. Step 3: Cross multiply
    6,266.40x = 8,648.76 × 3,613.44
  4. Step 4: Simplify right side
    6,266.40x = 31,251,775.33
  5. Step 5: Solve for x
    x = 31,251,775.33/6,266.40
  6. Step 6: Final answer
    x = 4,987.20

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Half scale
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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.