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Finding the Fourth Proportional to 11,840, 16,339.20 and 6,872

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Solution

The fourth proportional to 11,840, 16,339.20 and 6,872 is: 9,483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840 : 16,339.20 = 6,872 : x
  2. Step 2: Convert to fraction form
    11,840/16,339.20 = 6,872/x
  3. Step 3: Cross multiply
    11,840x = 16,339.20 × 6,872
  4. Step 4: Simplify right side
    11,840x = 112,282,982.40
  5. Step 5: Solve for x
    x = 112,282,982.40/11,840
  6. Step 6: Final answer
    x = 9,483.36

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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.