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Finding the Fourth Proportional to 12,840, 19,251.36 and 5,910.72

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Solution

The fourth proportional to 12,840, 19,251.36 and 5,910.72 is: 8,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840 : 19,251.36 = 5,910.72 : x
  2. Step 2: Convert to fraction form
    12,840/19,251.36 = 5,910.72/x
  3. Step 3: Cross multiply
    12,840x = 19,251.36 × 5,910.72
  4. Step 4: Simplify right side
    12,840x = 113,789,398.58
  5. Step 5: Solve for x
    x = 113,789,398.58/12,840
  6. Step 6: Final answer
    x = 8,862.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.