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Finding the Fourth Proportional to 2,643.67, 3,647.95 and 1,524.66

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Solution

The fourth proportional to 2,643.67, 3,647.95 and 1,524.66 is: 2,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.67 : 3,647.95 = 1,524.66 : x
  2. Step 2: Convert to fraction form
    2,643.67/3,647.95 = 1,524.66/x
  3. Step 3: Cross multiply
    2,643.67x = 3,647.95 × 1,524.66
  4. Step 4: Simplify right side
    2,643.67x = 5,561,883.45
  5. Step 5: Solve for x
    x = 5,561,883.45/2,643.67
  6. Step 6: Final answer
    x = 2,103.85

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Why These Related Problems?

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