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Finding the Fourth Proportional to 2,599.65, 3,898.69 and 1,366.39

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Solution

The fourth proportional to 2,599.65, 3,898.69 and 1,366.39 is: 2,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.65 : 3,898.69 = 1,366.39 : x
  2. Step 2: Convert to fraction form
    2,599.65/3,898.69 = 1,366.39/x
  3. Step 3: Cross multiply
    2,599.65x = 3,898.69 × 1,366.39
  4. Step 4: Simplify right side
    2,599.65x = 5,327,132.49
  5. Step 5: Solve for x
    x = 5,327,132.49/2,599.65
  6. Step 6: Final answer
    x = 2,049.17

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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.