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Finding the Fourth Proportional to 2,706.78, 3,735.26 and 1,527.70

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Solution

The fourth proportional to 2,706.78, 3,735.26 and 1,527.70 is: 2,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.78 : 3,735.26 = 1,527.70 : x
  2. Step 2: Convert to fraction form
    2,706.78/3,735.26 = 1,527.70/x
  3. Step 3: Cross multiply
    2,706.78x = 3,735.26 × 1,527.70
  4. Step 4: Simplify right side
    2,706.78x = 5,706,356.70
  5. Step 5: Solve for x
    x = 5,706,356.70/2,706.78
  6. Step 6: Final answer
    x = 2,108.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.