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Finding the Fourth Proportional to 1,581.16, 2,181.99 and 882.40

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Solution

The fourth proportional to 1,581.16, 2,181.99 and 882.40 is: 1,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.16 : 2,181.99 = 882.40 : x
  2. Step 2: Convert to fraction form
    1,581.16/2,181.99 = 882.40/x
  3. Step 3: Cross multiply
    1,581.16x = 2,181.99 × 882.40
  4. Step 4: Simplify right side
    1,581.16x = 1,925,387.98
  5. Step 5: Solve for x
    x = 1,925,387.98/1,581.16
  6. Step 6: Final answer
    x = 1,217.71

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1.5x scale

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.