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Finding the Fourth Proportional to 2,666.97, 3,996.96 and 1,432.94

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Solution

The fourth proportional to 2,666.97, 3,996.96 and 1,432.94 is: 2,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.97 : 3,996.96 = 1,432.94 : x
  2. Step 2: Convert to fraction form
    2,666.97/3,996.96 = 1,432.94/x
  3. Step 3: Cross multiply
    2,666.97x = 3,996.96 × 1,432.94
  4. Step 4: Simplify right side
    2,666.97x = 5,727,403.86
  5. Step 5: Solve for x
    x = 5,727,403.86/2,666.97
  6. Step 6: Final answer
    x = 2,147.53

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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.