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Finding the Fourth Proportional to 10,921.92, 16,415.69 and 9,609.72

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Solution

The fourth proportional to 10,921.92, 16,415.69 and 9,609.72 is: 14,443.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921.92 : 16,415.69 = 9,609.72 : x
  2. Step 2: Convert to fraction form
    10,921.92/16,415.69 = 9,609.72/x
  3. Step 3: Cross multiply
    10,921.92x = 16,415.69 × 9,609.72
  4. Step 4: Simplify right side
    10,921.92x = 157,750,136.46
  5. Step 5: Solve for x
    x = 157,750,136.46/10,921.92
  6. Step 6: Final answer
    x = 14,443.44

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1.5x scale

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.