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Finding the Fourth Proportional to 9,902.78, 14,845.44 and 4,965.38

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Solution

The fourth proportional to 9,902.78, 14,845.44 and 4,965.38 is: 7,443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.78 : 14,845.44 = 4,965.38 : x
  2. Step 2: Convert to fraction form
    9,902.78/14,845.44 = 4,965.38/x
  3. Step 3: Cross multiply
    9,902.78x = 14,845.44 × 4,965.38
  4. Step 4: Simplify right side
    9,902.78x = 73,713,250.87
  5. Step 5: Solve for x
    x = 73,713,250.87/9,902.78
  6. Step 6: Final answer
    x = 7,443.69

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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.