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Finding the Fourth Proportional to 6,344.16, 8,755.25 and 3,655.78

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Solution

The fourth proportional to 6,344.16, 8,755.25 and 3,655.78 is: 5,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.16 : 8,755.25 = 3,655.78 : x
  2. Step 2: Convert to fraction form
    6,344.16/8,755.25 = 3,655.78/x
  3. Step 3: Cross multiply
    6,344.16x = 8,755.25 × 3,655.78
  4. Step 4: Simplify right side
    6,344.16x = 32,007,284.95
  5. Step 5: Solve for x
    x = 32,007,284.95/6,344.16
  6. Step 6: Final answer
    x = 5,045.15

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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.