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Finding the Fourth Proportional to 19,671, 27,145.98 and 10,839

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Solution

The fourth proportional to 19,671, 27,145.98 and 10,839 is: 14,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671 : 27,145.98 = 10,839 : x
  2. Step 2: Convert to fraction form
    19,671/27,145.98 = 10,839/x
  3. Step 3: Cross multiply
    19,671x = 27,145.98 × 10,839
  4. Step 4: Simplify right side
    19,671x = 294,235,277.22
  5. Step 5: Solve for x
    x = 294,235,277.22/19,671
  6. Step 6: Final answer
    x = 14,957.82

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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.