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Finding the Fourth Proportional to 3,518.64, 5,277.15 and 1,326.78

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Solution

The fourth proportional to 3,518.64, 5,277.15 and 1,326.78 is: 1,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.64 : 5,277.15 = 1,326.78 : x
  2. Step 2: Convert to fraction form
    3,518.64/5,277.15 = 1,326.78/x
  3. Step 3: Cross multiply
    3,518.64x = 5,277.15 × 1,326.78
  4. Step 4: Simplify right side
    3,518.64x = 7,001,617.08
  5. Step 5: Solve for x
    x = 7,001,617.08/3,518.64
  6. Step 6: Final answer
    x = 1,989.86

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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.