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Finding the Fourth Proportional to 2,132.86, 2,942.10 and 1,469.68

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Solution

The fourth proportional to 2,132.86, 2,942.10 and 1,469.68 is: 2,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.86 : 2,942.10 = 1,469.68 : x
  2. Step 2: Convert to fraction form
    2,132.86/2,942.10 = 1,469.68/x
  3. Step 3: Cross multiply
    2,132.86x = 2,942.10 × 1,469.68
  4. Step 4: Simplify right side
    2,132.86x = 4,323,945.53
  5. Step 5: Solve for x
    x = 4,323,945.53/2,132.86
  6. Step 6: Final answer
    x = 2,027.30

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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.