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Finding the Fourth Proportional to 3,189.15, 4,784.31 and 997.38

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Solution

The fourth proportional to 3,189.15, 4,784.31 and 997.38 is: 1,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.15 : 4,784.31 = 997.38 : x
  2. Step 2: Convert to fraction form
    3,189.15/4,784.31 = 997.38/x
  3. Step 3: Cross multiply
    3,189.15x = 4,784.31 × 997.38
  4. Step 4: Simplify right side
    3,189.15x = 4,771,775.11
  5. Step 5: Solve for x
    x = 4,771,775.11/3,189.15
  6. Step 6: Final answer
    x = 1,496.25

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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.