Home / 2,382.58-3,574.28-822.16

Finding the Fourth Proportional to 2,382.58, 3,574.28 and 822.16

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Solution

The fourth proportional to 2,382.58, 3,574.28 and 822.16 is: 1,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.58 : 3,574.28 = 822.16 : x
  2. Step 2: Convert to fraction form
    2,382.58/3,574.28 = 822.16/x
  3. Step 3: Cross multiply
    2,382.58x = 3,574.28 × 822.16
  4. Step 4: Simplify right side
    2,382.58x = 2,938,630.04
  5. Step 5: Solve for x
    x = 2,938,630.04/2,382.58
  6. Step 6: Final answer
    x = 1,233.38

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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.