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Finding the Fourth Proportional to 5,724.80, 7,900.24 and 3,240.80

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Solution

The fourth proportional to 5,724.80, 7,900.24 and 3,240.80 is: 4,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.80 : 7,900.24 = 3,240.80 : x
  2. Step 2: Convert to fraction form
    5,724.80/7,900.24 = 3,240.80/x
  3. Step 3: Cross multiply
    5,724.80x = 7,900.24 × 3,240.80
  4. Step 4: Simplify right side
    5,724.80x = 25,603,097.79
  5. Step 5: Solve for x
    x = 25,603,097.79/5,724.80
  6. Step 6: Final answer
    x = 4,472.31

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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.