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Finding the Fourth Proportional to 13,442, 18,501 and 11,838.12

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Solution

The fourth proportional to 13,442, 18,501 and 11,838.12 is: 16,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442 : 18,501 = 11,838.12 : x
  2. Step 2: Convert to fraction form
    13,442/18,501 = 11,838.12/x
  3. Step 3: Cross multiply
    13,442x = 18,501 × 11,838.12
  4. Step 4: Simplify right side
    13,442x = 219,017,058.12
  5. Step 5: Solve for x
    x = 219,017,058.12/13,442
  6. Step 6: Final answer
    x = 16,293.49

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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.