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Finding the Fourth Proportional to 12,218, 16,860.93 and 6,629

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Solution

The fourth proportional to 12,218, 16,860.93 and 6,629 is: 9,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218 : 16,860.93 = 6,629 : x
  2. Step 2: Convert to fraction form
    12,218/16,860.93 = 6,629/x
  3. Step 3: Cross multiply
    12,218x = 16,860.93 × 6,629
  4. Step 4: Simplify right side
    12,218x = 111,771,104.97
  5. Step 5: Solve for x
    x = 111,771,104.97/12,218
  6. Step 6: Final answer
    x = 9,148.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.