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Finding the Fourth Proportional to 6,407.44, 8,842.20 and 3,755.12

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Solution

The fourth proportional to 6,407.44, 8,842.20 and 3,755.12 is: 5,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.44 : 8,842.20 = 3,755.12 : x
  2. Step 2: Convert to fraction form
    6,407.44/8,842.20 = 3,755.12/x
  3. Step 3: Cross multiply
    6,407.44x = 8,842.20 × 3,755.12
  4. Step 4: Simplify right side
    6,407.44x = 33,203,522.06
  5. Step 5: Solve for x
    x = 33,203,522.06/6,407.44
  6. Step 6: Final answer
    x = 5,182.03

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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.