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Finding the Fourth Proportional to 2,173.97, 3,000.14 and 1,289.86

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Solution

The fourth proportional to 2,173.97, 3,000.14 and 1,289.86 is: 1,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.97 : 3,000.14 = 1,289.86 : x
  2. Step 2: Convert to fraction form
    2,173.97/3,000.14 = 1,289.86/x
  3. Step 3: Cross multiply
    2,173.97x = 3,000.14 × 1,289.86
  4. Step 4: Simplify right side
    2,173.97x = 3,869,751.47
  5. Step 5: Solve for x
    x = 3,869,751.47/2,173.97
  6. Step 6: Final answer
    x = 1,780.04

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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.