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Finding the Fourth Proportional to 2,174.88, 3,001.44 and 1,230.32

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Solution

The fourth proportional to 2,174.88, 3,001.44 and 1,230.32 is: 1,697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.88 : 3,001.44 = 1,230.32 : x
  2. Step 2: Convert to fraction form
    2,174.88/3,001.44 = 1,230.32/x
  3. Step 3: Cross multiply
    2,174.88x = 3,001.44 × 1,230.32
  4. Step 4: Simplify right side
    2,174.88x = 3,692,731.66
  5. Step 5: Solve for x
    x = 3,692,731.66/2,174.88
  6. Step 6: Final answer
    x = 1,697.90

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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.