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Finding the Fourth Proportional to 9,876.10, 13,629.18 and 5,897.56

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Solution

The fourth proportional to 9,876.10, 13,629.18 and 5,897.56 is: 8,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.10 : 13,629.18 = 5,897.56 : x
  2. Step 2: Convert to fraction form
    9,876.10/13,629.18 = 5,897.56/x
  3. Step 3: Cross multiply
    9,876.10x = 13,629.18 × 5,897.56
  4. Step 4: Simplify right side
    9,876.10x = 80,378,906.80
  5. Step 5: Solve for x
    x = 80,378,906.80/9,876.10
  6. Step 6: Final answer
    x = 8,138.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.