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Finding the Fourth Proportional to 2,871.63, 4,308.16 and 819.63

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Solution

The fourth proportional to 2,871.63, 4,308.16 and 819.63 is: 1,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.63 : 4,308.16 = 819.63 : x
  2. Step 2: Convert to fraction form
    2,871.63/4,308.16 = 819.63/x
  3. Step 3: Cross multiply
    2,871.63x = 4,308.16 × 819.63
  4. Step 4: Simplify right side
    2,871.63x = 3,531,097.18
  5. Step 5: Solve for x
    x = 3,531,097.18/2,871.63
  6. Step 6: Final answer
    x = 1,229.65

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1.5x scale

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.