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Finding the Fourth Proportional to 7,571, 10,449.42 and 4,259

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Solution

The fourth proportional to 7,571, 10,449.42 and 4,259 is: 5,878.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571 : 10,449.42 = 4,259 : x
  2. Step 2: Convert to fraction form
    7,571/10,449.42 = 4,259/x
  3. Step 3: Cross multiply
    7,571x = 10,449.42 × 4,259
  4. Step 4: Simplify right side
    7,571x = 44,504,079.78
  5. Step 5: Solve for x
    x = 44,504,079.78/7,571
  6. Step 6: Final answer
    x = 5,878.23

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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.