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Finding the Fourth Proportional to 2,114.48, 3,171.96 and 882.48

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Solution

The fourth proportional to 2,114.48, 3,171.96 and 882.48 is: 1,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.48 : 3,171.96 = 882.48 : x
  2. Step 2: Convert to fraction form
    2,114.48/3,171.96 = 882.48/x
  3. Step 3: Cross multiply
    2,114.48x = 3,171.96 × 882.48
  4. Step 4: Simplify right side
    2,114.48x = 2,799,191.26
  5. Step 5: Solve for x
    x = 2,799,191.26/2,114.48
  6. Step 6: Final answer
    x = 1,323.82

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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.