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Finding the Fourth Proportional to 2,461.46, 3,692.12 and 819.18

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Solution

The fourth proportional to 2,461.46, 3,692.12 and 819.18 is: 1,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.46 : 3,692.12 = 819.18 : x
  2. Step 2: Convert to fraction form
    2,461.46/3,692.12 = 819.18/x
  3. Step 3: Cross multiply
    2,461.46x = 3,692.12 × 819.18
  4. Step 4: Simplify right side
    2,461.46x = 3,024,506.77
  5. Step 5: Solve for x
    x = 3,024,506.77/2,461.46
  6. Step 6: Final answer
    x = 1,228.75

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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.