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Finding the Fourth Proportional to 2,600.89, 3,899.14 and 1,213.49

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Solution

The fourth proportional to 2,600.89, 3,899.14 and 1,213.49 is: 1,819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.89 : 3,899.14 = 1,213.49 : x
  2. Step 2: Convert to fraction form
    2,600.89/3,899.14 = 1,213.49/x
  3. Step 3: Cross multiply
    2,600.89x = 3,899.14 × 1,213.49
  4. Step 4: Simplify right side
    2,600.89x = 4,731,574.11
  5. Step 5: Solve for x
    x = 4,731,574.11/2,600.89
  6. Step 6: Final answer
    x = 1,819.22

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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.