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Finding the Fourth Proportional to 28,267.31, 42,420.41 and 9,799.31

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Solution

The fourth proportional to 28,267.31, 42,420.41 and 9,799.31 is: 14,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,267.31 : 42,420.41 = 9,799.31 : x
  2. Step 2: Convert to fraction form
    28,267.31/42,420.41 = 9,799.31/x
  3. Step 3: Cross multiply
    28,267.31x = 42,420.41 × 9,799.31
  4. Step 4: Simplify right side
    28,267.31x = 415,690,841.72
  5. Step 5: Solve for x
    x = 415,690,841.72/28,267.31
  6. Step 6: Final answer
    x = 14,705.71

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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.