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Finding the Fourth Proportional to 9,429.92, 14,143.05 and 8,961.60

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Solution

The fourth proportional to 9,429.92, 14,143.05 and 8,961.60 is: 13,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.92 : 14,143.05 = 8,961.60 : x
  2. Step 2: Convert to fraction form
    9,429.92/14,143.05 = 8,961.60/x
  3. Step 3: Cross multiply
    9,429.92x = 14,143.05 × 8,961.60
  4. Step 4: Simplify right side
    9,429.92x = 126,744,356.88
  5. Step 5: Solve for x
    x = 126,744,356.88/9,429.92
  6. Step 6: Final answer
    x = 13,440.67

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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.