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Finding the Fourth Proportional to 28,446.41, 42,675.11 and 10,914.87

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Solution

The fourth proportional to 28,446.41, 42,675.11 and 10,914.87 is: 16,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,446.41 : 42,675.11 = 10,914.87 : x
  2. Step 2: Convert to fraction form
    28,446.41/42,675.11 = 10,914.87/x
  3. Step 3: Cross multiply
    28,446.41x = 42,675.11 × 10,914.87
  4. Step 4: Simplify right side
    28,446.41x = 465,793,305.17
  5. Step 5: Solve for x
    x = 465,793,305.17/28,446.41
  6. Step 6: Final answer
    x = 16,374.42

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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.