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Finding the Fourth Proportional to 2,479.97, 3,718.81 and 836.07

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Solution

The fourth proportional to 2,479.97, 3,718.81 and 836.07 is: 1,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.97 : 3,718.81 = 836.07 : x
  2. Step 2: Convert to fraction form
    2,479.97/3,718.81 = 836.07/x
  3. Step 3: Cross multiply
    2,479.97x = 3,718.81 × 836.07
  4. Step 4: Simplify right side
    2,479.97x = 3,109,193.49
  5. Step 5: Solve for x
    x = 3,109,193.49/2,479.97
  6. Step 6: Final answer
    x = 1,253.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.