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Finding the Fourth Proportional to 2,886.34, 4,329.51 and 806.35

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Solution

The fourth proportional to 2,886.34, 4,329.51 and 806.35 is: 1,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.34 : 4,329.51 = 806.35 : x
  2. Step 2: Convert to fraction form
    2,886.34/4,329.51 = 806.35/x
  3. Step 3: Cross multiply
    2,886.34x = 4,329.51 × 806.35
  4. Step 4: Simplify right side
    2,886.34x = 3,491,100.39
  5. Step 5: Solve for x
    x = 3,491,100.39/2,886.34
  6. Step 6: Final answer
    x = 1,209.53

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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.