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Finding the Fourth Proportional to 2,286, 3,151.02 and 1,806.66

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Solution

The fourth proportional to 2,286, 3,151.02 and 1,806.66 is: 2,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286 : 3,151.02 = 1,806.66 : x
  2. Step 2: Convert to fraction form
    2,286/3,151.02 = 1,806.66/x
  3. Step 3: Cross multiply
    2,286x = 3,151.02 × 1,806.66
  4. Step 4: Simplify right side
    2,286x = 5,692,821.79
  5. Step 5: Solve for x
    x = 5,692,821.79/2,286
  6. Step 6: Final answer
    x = 2,490.30

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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.