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Finding the Fourth Proportional to 2,758.71, 4,138.73 and 1,459.89

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Solution

The fourth proportional to 2,758.71, 4,138.73 and 1,459.89 is: 2,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.71 : 4,138.73 = 1,459.89 : x
  2. Step 2: Convert to fraction form
    2,758.71/4,138.73 = 1,459.89/x
  3. Step 3: Cross multiply
    2,758.71x = 4,138.73 × 1,459.89
  4. Step 4: Simplify right side
    2,758.71x = 6,042,083.24
  5. Step 5: Solve for x
    x = 6,042,083.24/2,758.71
  6. Step 6: Final answer
    x = 2,190.18

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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.