Home / 1,581.16-2,182.80-1,084

Finding the Fourth Proportional to 1,581.16, 2,182.80 and 1,084

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Solution

The fourth proportional to 1,581.16, 2,182.80 and 1,084 is: 1,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.16 : 2,182.80 = 1,084 : x
  2. Step 2: Convert to fraction form
    1,581.16/2,182.80 = 1,084/x
  3. Step 3: Cross multiply
    1,581.16x = 2,182.80 × 1,084
  4. Step 4: Simplify right side
    1,581.16x = 2,366,155.20
  5. Step 5: Solve for x
    x = 2,366,155.20/1,581.16
  6. Step 6: Final answer
    x = 1,496.47

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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.