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Finding the Fourth Proportional to 9,941.20, 14,911.80 and 8,313.10

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Solution

The fourth proportional to 9,941.20, 14,911.80 and 8,313.10 is: 12,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.20 : 14,911.80 = 8,313.10 : x
  2. Step 2: Convert to fraction form
    9,941.20/14,911.80 = 8,313.10/x
  3. Step 3: Cross multiply
    9,941.20x = 14,911.80 × 8,313.10
  4. Step 4: Simplify right side
    9,941.20x = 123,963,284.58
  5. Step 5: Solve for x
    x = 123,963,284.58/9,941.20
  6. Step 6: Final answer
    x = 12,469.65

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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.