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Finding the Fourth Proportional to 9,322.80, 13,984.20 and 8,401.20

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Solution

The fourth proportional to 9,322.80, 13,984.20 and 8,401.20 is: 12,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.80 : 13,984.20 = 8,401.20 : x
  2. Step 2: Convert to fraction form
    9,322.80/13,984.20 = 8,401.20/x
  3. Step 3: Cross multiply
    9,322.80x = 13,984.20 × 8,401.20
  4. Step 4: Simplify right side
    9,322.80x = 117,484,061.04
  5. Step 5: Solve for x
    x = 117,484,061.04/9,322.80
  6. Step 6: Final answer
    x = 12,601.80

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Similar ratio
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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.