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Finding the Fourth Proportional to 7,589.68, 10,472.42 and 4,232.22

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Solution

The fourth proportional to 7,589.68, 10,472.42 and 4,232.22 is: 5,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.68 : 10,472.42 = 4,232.22 : x
  2. Step 2: Convert to fraction form
    7,589.68/10,472.42 = 4,232.22/x
  3. Step 3: Cross multiply
    7,589.68x = 10,472.42 × 4,232.22
  4. Step 4: Simplify right side
    7,589.68x = 44,321,585.37
  5. Step 5: Solve for x
    x = 44,321,585.37/7,589.68
  6. Step 6: Final answer
    x = 5,839.72

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Half scale
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Double scale
Find fourth proportional to 7,590.68, 10,473.80 and 4,233.22
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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.