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Finding the Fourth Proportional to 2,114.60, 3,171.42 and 882.44

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Solution

The fourth proportional to 2,114.60, 3,171.42 and 882.44 is: 1,323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.60 : 3,171.42 = 882.44 : x
  2. Step 2: Convert to fraction form
    2,114.60/3,171.42 = 882.44/x
  3. Step 3: Cross multiply
    2,114.60x = 3,171.42 × 882.44
  4. Step 4: Simplify right side
    2,114.60x = 2,798,587.86
  5. Step 5: Solve for x
    x = 2,798,587.86/2,114.60
  6. Step 6: Final answer
    x = 1,323.46

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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.