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Finding the Fourth Proportional to 2,700.05, 3,726.08 and 1,505.11

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Solution

The fourth proportional to 2,700.05, 3,726.08 and 1,505.11 is: 2,077.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.05 : 3,726.08 = 1,505.11 : x
  2. Step 2: Convert to fraction form
    2,700.05/3,726.08 = 1,505.11/x
  3. Step 3: Cross multiply
    2,700.05x = 3,726.08 × 1,505.11
  4. Step 4: Simplify right side
    2,700.05x = 5,608,169.76
  5. Step 5: Solve for x
    x = 5,608,169.76/2,700.05
  6. Step 6: Final answer
    x = 2,077.06

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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.