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Finding the Fourth Proportional to 2,599.70, 3,899.80 and 1,039.33

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Solution

The fourth proportional to 2,599.70, 3,899.80 and 1,039.33 is: 1,559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.70 : 3,899.80 = 1,039.33 : x
  2. Step 2: Convert to fraction form
    2,599.70/3,899.80 = 1,039.33/x
  3. Step 3: Cross multiply
    2,599.70x = 3,899.80 × 1,039.33
  4. Step 4: Simplify right side
    2,599.70x = 4,053,179.13
  5. Step 5: Solve for x
    x = 4,053,179.13/2,599.70
  6. Step 6: Final answer
    x = 1,559.09

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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.