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Finding the Fourth Proportional to 3,738.79, 5,608.11 and 1,141.66

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Solution

The fourth proportional to 3,738.79, 5,608.11 and 1,141.66 is: 1,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.79 : 5,608.11 = 1,141.66 : x
  2. Step 2: Convert to fraction form
    3,738.79/5,608.11 = 1,141.66/x
  3. Step 3: Cross multiply
    3,738.79x = 5,608.11 × 1,141.66
  4. Step 4: Simplify right side
    3,738.79x = 6,402,526.82
  5. Step 5: Solve for x
    x = 6,402,526.82/3,738.79
  6. Step 6: Final answer
    x = 1,712.46

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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.