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Finding the Fourth Proportional to 2,871.50, 4,307.49 and 819.50

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Solution

The fourth proportional to 2,871.50, 4,307.49 and 819.50 is: 1,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.50 : 4,307.49 = 819.50 : x
  2. Step 2: Convert to fraction form
    2,871.50/4,307.49 = 819.50/x
  3. Step 3: Cross multiply
    2,871.50x = 4,307.49 × 819.50
  4. Step 4: Simplify right side
    2,871.50x = 3,529,988.06
  5. Step 5: Solve for x
    x = 3,529,988.06/2,871.50
  6. Step 6: Final answer
    x = 1,229.32

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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.