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Finding the Fourth Proportional to 2,174.11, 3,000.04 and 1,230.05

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Solution

The fourth proportional to 2,174.11, 3,000.04 and 1,230.05 is: 1,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.11 : 3,000.04 = 1,230.05 : x
  2. Step 2: Convert to fraction form
    2,174.11/3,000.04 = 1,230.05/x
  3. Step 3: Cross multiply
    2,174.11x = 3,000.04 × 1,230.05
  4. Step 4: Simplify right side
    2,174.11x = 3,690,203.63
  5. Step 5: Solve for x
    x = 3,690,203.63/2,174.11
  6. Step 6: Final answer
    x = 1,697.34

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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.