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Finding the Fourth Proportional to 10,850.50, 16,275.76 and 2,642.50

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Solution

The fourth proportional to 10,850.50, 16,275.76 and 2,642.50 is: 3,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.50 : 16,275.76 = 2,642.50 : x
  2. Step 2: Convert to fraction form
    10,850.50/16,275.76 = 2,642.50/x
  3. Step 3: Cross multiply
    10,850.50x = 16,275.76 × 2,642.50
  4. Step 4: Simplify right side
    10,850.50x = 43,008,695.80
  5. Step 5: Solve for x
    x = 43,008,695.80/10,850.50
  6. Step 6: Final answer
    x = 3,963.75

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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.