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Finding the Fourth Proportional to 2,618.88, 3,927.08 and 1,523.54

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Solution

The fourth proportional to 2,618.88, 3,927.08 and 1,523.54 is: 2,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.88 : 3,927.08 = 1,523.54 : x
  2. Step 2: Convert to fraction form
    2,618.88/3,927.08 = 1,523.54/x
  3. Step 3: Cross multiply
    2,618.88x = 3,927.08 × 1,523.54
  4. Step 4: Simplify right side
    2,618.88x = 5,983,063.46
  5. Step 5: Solve for x
    x = 5,983,063.46/2,618.88
  6. Step 6: Final answer
    x = 2,284.59

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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.