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Finding the Fourth Proportional to 3,703.86, 5,111.10 and 2,132.46

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Solution

The fourth proportional to 3,703.86, 5,111.10 and 2,132.46 is: 2,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.86 : 5,111.10 = 2,132.46 : x
  2. Step 2: Convert to fraction form
    3,703.86/5,111.10 = 2,132.46/x
  3. Step 3: Cross multiply
    3,703.86x = 5,111.10 × 2,132.46
  4. Step 4: Simplify right side
    3,703.86x = 10,899,216.31
  5. Step 5: Solve for x
    x = 10,899,216.31/3,703.86
  6. Step 6: Final answer
    x = 2,942.66

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