Home / 1,581.14-2,182.08-882.50

Finding the Fourth Proportional to 1,581.14, 2,182.08 and 882.50

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Solution

The fourth proportional to 1,581.14, 2,182.08 and 882.50 is: 1,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.14 : 2,182.08 = 882.50 : x
  2. Step 2: Convert to fraction form
    1,581.14/2,182.08 = 882.50/x
  3. Step 3: Cross multiply
    1,581.14x = 2,182.08 × 882.50
  4. Step 4: Simplify right side
    1,581.14x = 1,925,685.60
  5. Step 5: Solve for x
    x = 1,925,685.60/1,581.14
  6. Step 6: Final answer
    x = 1,217.91

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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.