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Finding the Fourth Proportional to 9,940.62, 13,710.06 and 8,743.08

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Solution

The fourth proportional to 9,940.62, 13,710.06 and 8,743.08 is: 12,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.62 : 13,710.06 = 8,743.08 : x
  2. Step 2: Convert to fraction form
    9,940.62/13,710.06 = 8,743.08/x
  3. Step 3: Cross multiply
    9,940.62x = 13,710.06 × 8,743.08
  4. Step 4: Simplify right side
    9,940.62x = 119,868,151.38
  5. Step 5: Solve for x
    x = 119,868,151.38/9,940.62
  6. Step 6: Final answer
    x = 12,058.42

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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.