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Finding the Fourth Proportional to 10,938.67, 16,408.05 and 4,366.51

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Solution

The fourth proportional to 10,938.67, 16,408.05 and 4,366.51 is: 6,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.67 : 16,408.05 = 4,366.51 : x
  2. Step 2: Convert to fraction form
    10,938.67/16,408.05 = 4,366.51/x
  3. Step 3: Cross multiply
    10,938.67x = 16,408.05 × 4,366.51
  4. Step 4: Simplify right side
    10,938.67x = 71,645,914.41
  5. Step 5: Solve for x
    x = 71,645,914.41/10,938.67
  6. Step 6: Final answer
    x = 6,549.78

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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.