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Finding the Fourth Proportional to 3,708.82, 5,564 and 1,243.66

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Solution

The fourth proportional to 3,708.82, 5,564 and 1,243.66 is: 1,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.82 : 5,564 = 1,243.66 : x
  2. Step 2: Convert to fraction form
    3,708.82/5,564 = 1,243.66/x
  3. Step 3: Cross multiply
    3,708.82x = 5,564 × 1,243.66
  4. Step 4: Simplify right side
    3,708.82x = 6,919,724.24
  5. Step 5: Solve for x
    x = 6,919,724.24/3,708.82
  6. Step 6: Final answer
    x = 1,865.75

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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.