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Finding the Fourth Proportional to 10,042.80, 15,063.05 and 2,647.84

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Solution

The fourth proportional to 10,042.80, 15,063.05 and 2,647.84 is: 3,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.80 : 15,063.05 = 2,647.84 : x
  2. Step 2: Convert to fraction form
    10,042.80/15,063.05 = 2,647.84/x
  3. Step 3: Cross multiply
    10,042.80x = 15,063.05 × 2,647.84
  4. Step 4: Simplify right side
    10,042.80x = 39,884,546.31
  5. Step 5: Solve for x
    x = 39,884,546.31/10,042.80
  6. Step 6: Final answer
    x = 3,971.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.