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Finding the Fourth Proportional to 2,806, 4,207.38 and 1,246

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Solution

The fourth proportional to 2,806, 4,207.38 and 1,246 is: 1,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806 : 4,207.38 = 1,246 : x
  2. Step 2: Convert to fraction form
    2,806/4,207.38 = 1,246/x
  3. Step 3: Cross multiply
    2,806x = 4,207.38 × 1,246
  4. Step 4: Simplify right side
    2,806x = 5,242,395.48
  5. Step 5: Solve for x
    x = 5,242,395.48/2,806
  6. Step 6: Final answer
    x = 1,868.28

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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.