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Finding the Fourth Proportional to 9,993.79, 14,993.12 and 4,147.21

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Solution

The fourth proportional to 9,993.79, 14,993.12 and 4,147.21 is: 6,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.79 : 14,993.12 = 4,147.21 : x
  2. Step 2: Convert to fraction form
    9,993.79/14,993.12 = 4,147.21/x
  3. Step 3: Cross multiply
    9,993.79x = 14,993.12 × 4,147.21
  4. Step 4: Simplify right side
    9,993.79x = 62,179,617.20
  5. Step 5: Solve for x
    x = 62,179,617.20/9,993.79
  6. Step 6: Final answer
    x = 6,221.83

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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.