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Finding the Fourth Proportional to 10,840, 14,959.20 and 5,872

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Solution

The fourth proportional to 10,840, 14,959.20 and 5,872 is: 8,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840 : 14,959.20 = 5,872 : x
  2. Step 2: Convert to fraction form
    10,840/14,959.20 = 5,872/x
  3. Step 3: Cross multiply
    10,840x = 14,959.20 × 5,872
  4. Step 4: Simplify right side
    10,840x = 87,840,422.40
  5. Step 5: Solve for x
    x = 87,840,422.40/10,840
  6. Step 6: Final answer
    x = 8,103.36

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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.