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Finding the Fourth Proportional to 14,671, 21,991.92 and 6,865.84

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Solution

The fourth proportional to 14,671, 21,991.92 and 6,865.84 is: 10,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671 : 21,991.92 = 6,865.84 : x
  2. Step 2: Convert to fraction form
    14,671/21,991.92 = 6,865.84/x
  3. Step 3: Cross multiply
    14,671x = 21,991.92 × 6,865.84
  4. Step 4: Simplify right side
    14,671x = 150,993,004.01
  5. Step 5: Solve for x
    x = 150,993,004.01/14,671
  6. Step 6: Final answer
    x = 10,291.94

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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.