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Finding the Fourth Proportional to 3,230.47, 4,836.12 and 1,993.90

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Solution

The fourth proportional to 3,230.47, 4,836.12 and 1,993.90 is: 2,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.47 : 4,836.12 = 1,993.90 : x
  2. Step 2: Convert to fraction form
    3,230.47/4,836.12 = 1,993.90/x
  3. Step 3: Cross multiply
    3,230.47x = 4,836.12 × 1,993.90
  4. Step 4: Simplify right side
    3,230.47x = 9,642,715.49
  5. Step 5: Solve for x
    x = 9,642,715.49/3,230.47
  6. Step 6: Final answer
    x = 2,984.93

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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.