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Finding the Fourth Proportional to 1,543.25, 2,129.78 and 880.23

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Solution

The fourth proportional to 1,543.25, 2,129.78 and 880.23 is: 1,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.25 : 2,129.78 = 880.23 : x
  2. Step 2: Convert to fraction form
    1,543.25/2,129.78 = 880.23/x
  3. Step 3: Cross multiply
    1,543.25x = 2,129.78 × 880.23
  4. Step 4: Simplify right side
    1,543.25x = 1,874,691.85
  5. Step 5: Solve for x
    x = 1,874,691.85/1,543.25
  6. Step 6: Final answer
    x = 1,214.77

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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.