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Finding the Fourth Proportional to 2,705.78, 4,065.51 and 2,596.43

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Solution

The fourth proportional to 2,705.78, 4,065.51 and 2,596.43 is: 3,901.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.78 : 4,065.51 = 2,596.43 : x
  2. Step 2: Convert to fraction form
    2,705.78/4,065.51 = 2,596.43/x
  3. Step 3: Cross multiply
    2,705.78x = 4,065.51 × 2,596.43
  4. Step 4: Simplify right side
    2,705.78x = 10,555,812.13
  5. Step 5: Solve for x
    x = 10,555,812.13/2,705.78
  6. Step 6: Final answer
    x = 3,901.21

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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.