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Finding the Fourth Proportional to 2,709.75, 3,740.07 and 1,531.51

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Solution

The fourth proportional to 2,709.75, 3,740.07 and 1,531.51 is: 2,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.75 : 3,740.07 = 1,531.51 : x
  2. Step 2: Convert to fraction form
    2,709.75/3,740.07 = 1,531.51/x
  3. Step 3: Cross multiply
    2,709.75x = 3,740.07 × 1,531.51
  4. Step 4: Simplify right side
    2,709.75x = 5,727,951.00
  5. Step 5: Solve for x
    x = 5,727,951.00/2,709.75
  6. Step 6: Final answer
    x = 2,113.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.