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Finding the Fourth Proportional to 3,193.80, 4,407.36 and 1,951.80

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Solution

The fourth proportional to 3,193.80, 4,407.36 and 1,951.80 is: 2,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.80 : 4,407.36 = 1,951.80 : x
  2. Step 2: Convert to fraction form
    3,193.80/4,407.36 = 1,951.80/x
  3. Step 3: Cross multiply
    3,193.80x = 4,407.36 × 1,951.80
  4. Step 4: Simplify right side
    3,193.80x = 8,602,285.25
  5. Step 5: Solve for x
    x = 8,602,285.25/3,193.80
  6. Step 6: Final answer
    x = 2,693.43

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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.