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Finding the Fourth Proportional to 2,713.51, 4,069.90 and 739.29

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Solution

The fourth proportional to 2,713.51, 4,069.90 and 739.29 is: 1,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.51 : 4,069.90 = 739.29 : x
  2. Step 2: Convert to fraction form
    2,713.51/4,069.90 = 739.29/x
  3. Step 3: Cross multiply
    2,713.51x = 4,069.90 × 739.29
  4. Step 4: Simplify right side
    2,713.51x = 3,008,836.37
  5. Step 5: Solve for x
    x = 3,008,836.37/2,713.51
  6. Step 6: Final answer
    x = 1,108.84

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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.