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Finding the Fourth Proportional to 9,061, 12,504.20 and 5,286.76

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Solution

The fourth proportional to 9,061, 12,504.20 and 5,286.76 is: 7,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,061 : 12,504.20 = 5,286.76 : x
  2. Step 2: Convert to fraction form
    9,061/12,504.20 = 5,286.76/x
  3. Step 3: Cross multiply
    9,061x = 12,504.20 × 5,286.76
  4. Step 4: Simplify right side
    9,061x = 66,106,704.39
  5. Step 5: Solve for x
    x = 66,106,704.39/9,061
  6. Step 6: Final answer
    x = 7,295.74

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.