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Finding the Fourth Proportional to 6,758.49, 10,138.70 and 2,078.89

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Solution

The fourth proportional to 6,758.49, 10,138.70 and 2,078.89 is: 3,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.49 : 10,138.70 = 2,078.89 : x
  2. Step 2: Convert to fraction form
    6,758.49/10,138.70 = 2,078.89/x
  3. Step 3: Cross multiply
    6,758.49x = 10,138.70 × 2,078.89
  4. Step 4: Simplify right side
    6,758.49x = 21,077,210.20
  5. Step 5: Solve for x
    x = 21,077,210.20/6,758.49
  6. Step 6: Final answer
    x = 3,118.63

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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.