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Finding the Fourth Proportional to 9,261.20, 12,991.60 and 9,261.20

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Solution

The fourth proportional to 9,261.20, 12,991.60 and 9,261.20 is: 12,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.20 : 12,991.60 = 9,261.20 : x
  2. Step 2: Convert to fraction form
    9,261.20/12,991.60 = 9,261.20/x
  3. Step 3: Cross multiply
    9,261.20x = 12,991.60 × 9,261.20
  4. Step 4: Simplify right side
    9,261.20x = 120,317,805.92
  5. Step 5: Solve for x
    x = 120,317,805.92/9,261.20
  6. Step 6: Final answer
    x = 12,991.60

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.