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Finding the Fourth Proportional to 8,574.26, 11,825.93 and 7,381.20

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Solution

The fourth proportional to 8,574.26, 11,825.93 and 7,381.20 is: 10,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.26 : 11,825.93 = 7,381.20 : x
  2. Step 2: Convert to fraction form
    8,574.26/11,825.93 = 7,381.20/x
  3. Step 3: Cross multiply
    8,574.26x = 11,825.93 × 7,381.20
  4. Step 4: Simplify right side
    8,574.26x = 87,289,517.61
  5. Step 5: Solve for x
    x = 87,289,517.61/8,574.26
  6. Step 6: Final answer
    x = 10,180.42

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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.