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Finding the Fourth Proportional to 9,993.85, 14,987.74 and 4,149.09

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Solution

The fourth proportional to 9,993.85, 14,987.74 and 4,149.09 is: 6,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.85 : 14,987.74 = 4,149.09 : x
  2. Step 2: Convert to fraction form
    9,993.85/14,987.74 = 4,149.09/x
  3. Step 3: Cross multiply
    9,993.85x = 14,987.74 × 4,149.09
  4. Step 4: Simplify right side
    9,993.85x = 62,185,527.99
  5. Step 5: Solve for x
    x = 62,185,527.99/9,993.85
  6. Step 6: Final answer
    x = 6,222.38

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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.