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Finding the Fourth Proportional to 2,174.82, 3,001.65 and 1,243.32

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Solution

The fourth proportional to 2,174.82, 3,001.65 and 1,243.32 is: 1,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.82 : 3,001.65 = 1,243.32 : x
  2. Step 2: Convert to fraction form
    2,174.82/3,001.65 = 1,243.32/x
  3. Step 3: Cross multiply
    2,174.82x = 3,001.65 × 1,243.32
  4. Step 4: Simplify right side
    2,174.82x = 3,732,011.48
  5. Step 5: Solve for x
    x = 3,732,011.48/2,174.82
  6. Step 6: Final answer
    x = 1,716.01

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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.