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Finding the Fourth Proportional to 7,321.80, 10,982.84 and 2,642.16

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Solution

The fourth proportional to 7,321.80, 10,982.84 and 2,642.16 is: 3,963.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.80 : 10,982.84 = 2,642.16 : x
  2. Step 2: Convert to fraction form
    7,321.80/10,982.84 = 2,642.16/x
  3. Step 3: Cross multiply
    7,321.80x = 10,982.84 × 2,642.16
  4. Step 4: Simplify right side
    7,321.80x = 29,018,463.37
  5. Step 5: Solve for x
    x = 29,018,463.37/7,321.80
  6. Step 6: Final answer
    x = 3,963.29

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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.