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Finding the Fourth Proportional to 2,757.30, 4,135.95 and 705.30

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Solution

The fourth proportional to 2,757.30, 4,135.95 and 705.30 is: 1,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.30 : 4,135.95 = 705.30 : x
  2. Step 2: Convert to fraction form
    2,757.30/4,135.95 = 705.30/x
  3. Step 3: Cross multiply
    2,757.30x = 4,135.95 × 705.30
  4. Step 4: Simplify right side
    2,757.30x = 2,917,082.01
  5. Step 5: Solve for x
    x = 2,917,082.01/2,757.30
  6. Step 6: Final answer
    x = 1,057.95

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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.