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Finding the Fourth Proportional to 4,128, 6,192.90 and 1,819.50

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Solution

The fourth proportional to 4,128, 6,192.90 and 1,819.50 is: 2,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128 : 6,192.90 = 1,819.50 : x
  2. Step 2: Convert to fraction form
    4,128/6,192.90 = 1,819.50/x
  3. Step 3: Cross multiply
    4,128x = 6,192.90 × 1,819.50
  4. Step 4: Simplify right side
    4,128x = 11,267,981.55
  5. Step 5: Solve for x
    x = 11,267,981.55/4,128
  6. Step 6: Final answer
    x = 2,729.65

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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.