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Finding the Fourth Proportional to 3,189.93, 4,784.89 and 998.64

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Solution

The fourth proportional to 3,189.93, 4,784.89 and 998.64 is: 1,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.93 : 4,784.89 = 998.64 : x
  2. Step 2: Convert to fraction form
    3,189.93/4,784.89 = 998.64/x
  3. Step 3: Cross multiply
    3,189.93x = 4,784.89 × 998.64
  4. Step 4: Simplify right side
    3,189.93x = 4,778,382.55
  5. Step 5: Solve for x
    x = 4,778,382.55/3,189.93
  6. Step 6: Final answer
    x = 1,497.96

Related Problems

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Half scale
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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.