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Finding the Fourth Proportional to 2,174.68, 3,001.08 and 1,230.47

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Solution

The fourth proportional to 2,174.68, 3,001.08 and 1,230.47 is: 1,698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.68 : 3,001.08 = 1,230.47 : x
  2. Step 2: Convert to fraction form
    2,174.68/3,001.08 = 1,230.47/x
  3. Step 3: Cross multiply
    2,174.68x = 3,001.08 × 1,230.47
  4. Step 4: Simplify right side
    2,174.68x = 3,692,738.91
  5. Step 5: Solve for x
    x = 3,692,738.91/2,174.68
  6. Step 6: Final answer
    x = 1,698.06

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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.