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Finding the Fourth Proportional to 6,266.40, 8,647.68 and 3,613.74

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Solution

The fourth proportional to 6,266.40, 8,647.68 and 3,613.74 is: 4,986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.40 : 8,647.68 = 3,613.74 : x
  2. Step 2: Convert to fraction form
    6,266.40/8,647.68 = 3,613.74/x
  3. Step 3: Cross multiply
    6,266.40x = 8,647.68 × 3,613.74
  4. Step 4: Simplify right side
    6,266.40x = 31,250,467.12
  5. Step 5: Solve for x
    x = 31,250,467.12/6,266.40
  6. Step 6: Final answer
    x = 4,986.99

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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.