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Finding the Fourth Proportional to 2,342.17, 3,231.91 and 1,294.17

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Solution

The fourth proportional to 2,342.17, 3,231.91 and 1,294.17 is: 1,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.17 : 3,231.91 = 1,294.17 : x
  2. Step 2: Convert to fraction form
    2,342.17/3,231.91 = 1,294.17/x
  3. Step 3: Cross multiply
    2,342.17x = 3,231.91 × 1,294.17
  4. Step 4: Simplify right side
    2,342.17x = 4,182,624.81
  5. Step 5: Solve for x
    x = 4,182,624.81/2,342.17
  6. Step 6: Final answer
    x = 1,785.79

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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.