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Finding the Fourth Proportional to 9,906.78, 14,860.49 and 3,668.36

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Solution

The fourth proportional to 9,906.78, 14,860.49 and 3,668.36 is: 5,502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.78 : 14,860.49 = 3,668.36 : x
  2. Step 2: Convert to fraction form
    9,906.78/14,860.49 = 3,668.36/x
  3. Step 3: Cross multiply
    9,906.78x = 14,860.49 × 3,668.36
  4. Step 4: Simplify right side
    9,906.78x = 54,513,590.18
  5. Step 5: Solve for x
    x = 54,513,590.18/9,906.78
  6. Step 6: Final answer
    x = 5,502.66

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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.