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Finding the Fourth Proportional to 7,453, 11,179.50 and 1,981

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Solution

The fourth proportional to 7,453, 11,179.50 and 1,981 is: 2,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453 : 11,179.50 = 1,981 : x
  2. Step 2: Convert to fraction form
    7,453/11,179.50 = 1,981/x
  3. Step 3: Cross multiply
    7,453x = 11,179.50 × 1,981
  4. Step 4: Simplify right side
    7,453x = 22,146,589.50
  5. Step 5: Solve for x
    x = 22,146,589.50/7,453
  6. Step 6: Final answer
    x = 2,971.50

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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.