Home / 5,282-7,920.26-2,816.16

Finding the Fourth Proportional to 5,282, 7,920.26 and 2,816.16

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Solution

The fourth proportional to 5,282, 7,920.26 and 2,816.16 is: 4,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282 : 7,920.26 = 2,816.16 : x
  2. Step 2: Convert to fraction form
    5,282/7,920.26 = 2,816.16/x
  3. Step 3: Cross multiply
    5,282x = 7,920.26 × 2,816.16
  4. Step 4: Simplify right side
    5,282x = 22,304,719.40
  5. Step 5: Solve for x
    x = 22,304,719.40/5,282
  6. Step 6: Final answer
    x = 4,222.78

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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.