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Finding the Fourth Proportional to 2,699.25, 4,047.14 and 1,138.83

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Solution

The fourth proportional to 2,699.25, 4,047.14 and 1,138.83 is: 1,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.25 : 4,047.14 = 1,138.83 : x
  2. Step 2: Convert to fraction form
    2,699.25/4,047.14 = 1,138.83/x
  3. Step 3: Cross multiply
    2,699.25x = 4,047.14 × 1,138.83
  4. Step 4: Simplify right side
    2,699.25x = 4,609,001.84
  5. Step 5: Solve for x
    x = 4,609,001.84/2,699.25
  6. Step 6: Final answer
    x = 1,707.51

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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.