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Finding the Fourth Proportional to 1,581.66, 2,182.32 and 952.02

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Solution

The fourth proportional to 1,581.66, 2,182.32 and 952.02 is: 1,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.66 : 2,182.32 = 952.02 : x
  2. Step 2: Convert to fraction form
    1,581.66/2,182.32 = 952.02/x
  3. Step 3: Cross multiply
    1,581.66x = 2,182.32 × 952.02
  4. Step 4: Simplify right side
    1,581.66x = 2,077,612.29
  5. Step 5: Solve for x
    x = 2,077,612.29/1,581.66
  6. Step 6: Final answer
    x = 1,313.56

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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.