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Finding the Fourth Proportional to 9,993.86, 14,989.42 and 2,974.95

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Solution

The fourth proportional to 9,993.86, 14,989.42 and 2,974.95 is: 4,462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.86 : 14,989.42 = 2,974.95 : x
  2. Step 2: Convert to fraction form
    9,993.86/14,989.42 = 2,974.95/x
  3. Step 3: Cross multiply
    9,993.86x = 14,989.42 × 2,974.95
  4. Step 4: Simplify right side
    9,993.86x = 44,592,801.35
  5. Step 5: Solve for x
    x = 44,592,801.35/9,993.86
  6. Step 6: Final answer
    x = 4,462.02

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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.