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Finding the Fourth Proportional to 13,243.68, 19,868.22 and 4,478.49

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Solution

The fourth proportional to 13,243.68, 19,868.22 and 4,478.49 is: 6,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.68 : 19,868.22 = 4,478.49 : x
  2. Step 2: Convert to fraction form
    13,243.68/19,868.22 = 4,478.49/x
  3. Step 3: Cross multiply
    13,243.68x = 19,868.22 × 4,478.49
  4. Step 4: Simplify right side
    13,243.68x = 88,979,624.59
  5. Step 5: Solve for x
    x = 88,979,624.59/13,243.68
  6. Step 6: Final answer
    x = 6,718.65

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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.