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Finding the Fourth Proportional to 2,174.93, 3,001.21 and 1,230.81

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Solution

The fourth proportional to 2,174.93, 3,001.21 and 1,230.81 is: 1,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.93 : 3,001.21 = 1,230.81 : x
  2. Step 2: Convert to fraction form
    2,174.93/3,001.21 = 1,230.81/x
  3. Step 3: Cross multiply
    2,174.93x = 3,001.21 × 1,230.81
  4. Step 4: Simplify right side
    2,174.93x = 3,693,919.28
  5. Step 5: Solve for x
    x = 3,693,919.28/2,174.93
  6. Step 6: Final answer
    x = 1,698.41

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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.