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Finding the Fourth Proportional to 3,189, 4,784.19 and 997.56

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Solution

The fourth proportional to 3,189, 4,784.19 and 997.56 is: 1,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189 : 4,784.19 = 997.56 : x
  2. Step 2: Convert to fraction form
    3,189/4,784.19 = 997.56/x
  3. Step 3: Cross multiply
    3,189x = 4,784.19 × 997.56
  4. Step 4: Simplify right side
    3,189x = 4,772,516.58
  5. Step 5: Solve for x
    x = 4,772,516.58/3,189
  6. Step 6: Final answer
    x = 1,496.56

Related Problems

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.