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Finding the Fourth Proportional to 2,706.57, 4,060.55 and 758.77

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Solution

The fourth proportional to 2,706.57, 4,060.55 and 758.77 is: 1,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.57 : 4,060.55 = 758.77 : x
  2. Step 2: Convert to fraction form
    2,706.57/4,060.55 = 758.77/x
  3. Step 3: Cross multiply
    2,706.57x = 4,060.55 × 758.77
  4. Step 4: Simplify right side
    2,706.57x = 3,081,033.84
  5. Step 5: Solve for x
    x = 3,081,033.84/2,706.57
  6. Step 6: Final answer
    x = 1,138.35

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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.