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Finding the Fourth Proportional to 3,809.62, 5,715.51 and 1,212.76

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Solution

The fourth proportional to 3,809.62, 5,715.51 and 1,212.76 is: 1,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.62 : 5,715.51 = 1,212.76 : x
  2. Step 2: Convert to fraction form
    3,809.62/5,715.51 = 1,212.76/x
  3. Step 3: Cross multiply
    3,809.62x = 5,715.51 × 1,212.76
  4. Step 4: Simplify right side
    3,809.62x = 6,931,541.91
  5. Step 5: Solve for x
    x = 6,931,541.91/3,809.62
  6. Step 6: Final answer
    x = 1,819.48

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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.