Home / 2,382.36-3,572.84-822.10

Finding the Fourth Proportional to 2,382.36, 3,572.84 and 822.10

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Solution

The fourth proportional to 2,382.36, 3,572.84 and 822.10 is: 1,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.36 : 3,572.84 = 822.10 : x
  2. Step 2: Convert to fraction form
    2,382.36/3,572.84 = 822.10/x
  3. Step 3: Cross multiply
    2,382.36x = 3,572.84 × 822.10
  4. Step 4: Simplify right side
    2,382.36x = 2,937,231.76
  5. Step 5: Solve for x
    x = 2,937,231.76/2,382.36
  6. Step 6: Final answer
    x = 1,232.91

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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.