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Finding the Fourth Proportional to 5,718.16, 7,891.20 and 3,200.25

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Solution

The fourth proportional to 5,718.16, 7,891.20 and 3,200.25 is: 4,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.16 : 7,891.20 = 3,200.25 : x
  2. Step 2: Convert to fraction form
    5,718.16/7,891.20 = 3,200.25/x
  3. Step 3: Cross multiply
    5,718.16x = 7,891.20 × 3,200.25
  4. Step 4: Simplify right side
    5,718.16x = 25,253,757.34
  5. Step 5: Solve for x
    x = 25,253,757.34/5,718.16
  6. Step 6: Final answer
    x = 4,416.42

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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.