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Finding the Fourth Proportional to 5,151.98, 7,728.24 and 2,381.24

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Solution

The fourth proportional to 5,151.98, 7,728.24 and 2,381.24 is: 3,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.98 : 7,728.24 = 2,381.24 : x
  2. Step 2: Convert to fraction form
    5,151.98/7,728.24 = 2,381.24/x
  3. Step 3: Cross multiply
    5,151.98x = 7,728.24 × 2,381.24
  4. Step 4: Simplify right side
    5,151.98x = 18,402,794.22
  5. Step 5: Solve for x
    x = 18,402,794.22/5,151.98
  6. Step 6: Final answer
    x = 3,571.98

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Half scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.