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Finding the Fourth Proportional to 9,919.56, 14,878.28 and 3,678.41

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Solution

The fourth proportional to 9,919.56, 14,878.28 and 3,678.41 is: 5,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.56 : 14,878.28 = 3,678.41 : x
  2. Step 2: Convert to fraction form
    9,919.56/14,878.28 = 3,678.41/x
  3. Step 3: Cross multiply
    9,919.56x = 14,878.28 × 3,678.41
  4. Step 4: Simplify right side
    9,919.56x = 54,728,460.33
  5. Step 5: Solve for x
    x = 54,728,460.33/9,919.56
  6. Step 6: Final answer
    x = 5,517.22

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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.