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Finding the Fourth Proportional to 5,718.66, 7,891.89 and 3,200.75

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Solution

The fourth proportional to 5,718.66, 7,891.89 and 3,200.75 is: 4,417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.66 : 7,891.89 = 3,200.75 : x
  2. Step 2: Convert to fraction form
    5,718.66/7,891.89 = 3,200.75/x
  3. Step 3: Cross multiply
    5,718.66x = 7,891.89 × 3,200.75
  4. Step 4: Simplify right side
    5,718.66x = 25,259,911.45
  5. Step 5: Solve for x
    x = 25,259,911.45/5,718.66
  6. Step 6: Final answer
    x = 4,417.11

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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.