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Finding the Fourth Proportional to 2,251, 3,106.91 and 1,505.26

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Solution

The fourth proportional to 2,251, 3,106.91 and 1,505.26 is: 2,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251 : 3,106.91 = 1,505.26 : x
  2. Step 2: Convert to fraction form
    2,251/3,106.91 = 1,505.26/x
  3. Step 3: Cross multiply
    2,251x = 3,106.91 × 1,505.26
  4. Step 4: Simplify right side
    2,251x = 4,676,707.35
  5. Step 5: Solve for x
    x = 4,676,707.35/2,251
  6. Step 6: Final answer
    x = 2,077.61

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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.