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Finding the Fourth Proportional to 9,117.82, 13,678.82 and 2,878.44

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Solution

The fourth proportional to 9,117.82, 13,678.82 and 2,878.44 is: 4,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.82 : 13,678.82 = 2,878.44 : x
  2. Step 2: Convert to fraction form
    9,117.82/13,678.82 = 2,878.44/x
  3. Step 3: Cross multiply
    9,117.82x = 13,678.82 × 2,878.44
  4. Step 4: Simplify right side
    9,117.82x = 39,373,623.94
  5. Step 5: Solve for x
    x = 39,373,623.94/9,117.82
  6. Step 6: Final answer
    x = 4,318.32

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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.