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Finding the Fourth Proportional to 9,813.78, 14,727.24 and 3,657.78

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Solution

The fourth proportional to 9,813.78, 14,727.24 and 3,657.78 is: 5,489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.78 : 14,727.24 = 3,657.78 : x
  2. Step 2: Convert to fraction form
    9,813.78/14,727.24 = 3,657.78/x
  3. Step 3: Cross multiply
    9,813.78x = 14,727.24 × 3,657.78
  4. Step 4: Simplify right side
    9,813.78x = 53,869,003.93
  5. Step 5: Solve for x
    x = 53,869,003.93/9,813.78
  6. Step 6: Final answer
    x = 5,489.12

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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.