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Finding the Fourth Proportional to 1,933.74, 2,672.02 and 1,543.86

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Solution

The fourth proportional to 1,933.74, 2,672.02 and 1,543.86 is: 2,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.74 : 2,672.02 = 1,543.86 : x
  2. Step 2: Convert to fraction form
    1,933.74/2,672.02 = 1,543.86/x
  3. Step 3: Cross multiply
    1,933.74x = 2,672.02 × 1,543.86
  4. Step 4: Simplify right side
    1,933.74x = 4,125,224.80
  5. Step 5: Solve for x
    x = 4,125,224.80/1,933.74
  6. Step 6: Final answer
    x = 2,133.29

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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.