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Finding the Fourth Proportional to 7,965, 11,947.50 and 2,121.66

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Solution

The fourth proportional to 7,965, 11,947.50 and 2,121.66 is: 3,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965 : 11,947.50 = 2,121.66 : x
  2. Step 2: Convert to fraction form
    7,965/11,947.50 = 2,121.66/x
  3. Step 3: Cross multiply
    7,965x = 11,947.50 × 2,121.66
  4. Step 4: Simplify right side
    7,965x = 25,348,532.85
  5. Step 5: Solve for x
    x = 25,348,532.85/7,965
  6. Step 6: Final answer
    x = 3,182.49

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Double scale
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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.