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Finding the Fourth Proportional to 3,642.63, 5,455.10 and 2,077.91

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Solution

The fourth proportional to 3,642.63, 5,455.10 and 2,077.91 is: 3,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.63 : 5,455.10 = 2,077.91 : x
  2. Step 2: Convert to fraction form
    3,642.63/5,455.10 = 2,077.91/x
  3. Step 3: Cross multiply
    3,642.63x = 5,455.10 × 2,077.91
  4. Step 4: Simplify right side
    3,642.63x = 11,335,169.18
  5. Step 5: Solve for x
    x = 11,335,169.18/3,642.63
  6. Step 6: Final answer
    x = 3,111.81

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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.