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Finding the Fourth Proportional to 10,898.40, 16,321.68 and 9,667.20

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Solution

The fourth proportional to 10,898.40, 16,321.68 and 9,667.20 is: 14,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.40 : 16,321.68 = 9,667.20 : x
  2. Step 2: Convert to fraction form
    10,898.40/16,321.68 = 9,667.20/x
  3. Step 3: Cross multiply
    10,898.40x = 16,321.68 × 9,667.20
  4. Step 4: Simplify right side
    10,898.40x = 157,784,944.90
  5. Step 5: Solve for x
    x = 157,784,944.90/10,898.40
  6. Step 6: Final answer
    x = 14,477.81

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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.