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Finding the Fourth Proportional to 2,757.12, 4,135.56 and 705.12

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Solution

The fourth proportional to 2,757.12, 4,135.56 and 705.12 is: 1,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.12 : 4,135.56 = 705.12 : x
  2. Step 2: Convert to fraction form
    2,757.12/4,135.56 = 705.12/x
  3. Step 3: Cross multiply
    2,757.12x = 4,135.56 × 705.12
  4. Step 4: Simplify right side
    2,757.12x = 2,916,066.07
  5. Step 5: Solve for x
    x = 2,916,066.07/2,757.12
  6. Step 6: Final answer
    x = 1,057.65

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1.5x scale

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.