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Finding the Fourth Proportional to 3,126.12, 4,314.12 and 1,728.88

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Solution

The fourth proportional to 3,126.12, 4,314.12 and 1,728.88 is: 2,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.12 : 4,314.12 = 1,728.88 : x
  2. Step 2: Convert to fraction form
    3,126.12/4,314.12 = 1,728.88/x
  3. Step 3: Cross multiply
    3,126.12x = 4,314.12 × 1,728.88
  4. Step 4: Simplify right side
    3,126.12x = 7,458,595.79
  5. Step 5: Solve for x
    x = 7,458,595.79/3,126.12
  6. Step 6: Final answer
    x = 2,385.90

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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.