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Finding the Fourth Proportional to 6,754.80, 10,129.16 and 2,857.20

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Solution

The fourth proportional to 6,754.80, 10,129.16 and 2,857.20 is: 4,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.80 : 10,129.16 = 2,857.20 : x
  2. Step 2: Convert to fraction form
    6,754.80/10,129.16 = 2,857.20/x
  3. Step 3: Cross multiply
    6,754.80x = 10,129.16 × 2,857.20
  4. Step 4: Simplify right side
    6,754.80x = 28,941,035.95
  5. Step 5: Solve for x
    x = 28,941,035.95/6,754.80
  6. Step 6: Final answer
    x = 4,284.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.