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Finding the Fourth Proportional to 10,100.44, 15,138 and 5,408.82

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Solution

The fourth proportional to 10,100.44, 15,138 and 5,408.82 is: 8,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.44 : 15,138 = 5,408.82 : x
  2. Step 2: Convert to fraction form
    10,100.44/15,138 = 5,408.82/x
  3. Step 3: Cross multiply
    10,100.44x = 15,138 × 5,408.82
  4. Step 4: Simplify right side
    10,100.44x = 81,878,717.16
  5. Step 5: Solve for x
    x = 81,878,717.16/10,100.44
  6. Step 6: Final answer
    x = 8,106.45

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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.