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Finding the Fourth Proportional to 7,183.13, 10,774.69 and 1,989

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Solution

The fourth proportional to 7,183.13, 10,774.69 and 1,989 is: 2,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.13 : 10,774.69 = 1,989 : x
  2. Step 2: Convert to fraction form
    7,183.13/10,774.69 = 1,989/x
  3. Step 3: Cross multiply
    7,183.13x = 10,774.69 × 1,989
  4. Step 4: Simplify right side
    7,183.13x = 21,430,853.44
  5. Step 5: Solve for x
    x = 21,430,853.44/7,183.13
  6. Step 6: Final answer
    x = 2,983.50

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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.