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Finding the Fourth Proportional to 11,122.40, 16,658.90 and 7,993

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Solution

The fourth proportional to 11,122.40, 16,658.90 and 7,993 is: 11,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.40 : 16,658.90 = 7,993 : x
  2. Step 2: Convert to fraction form
    11,122.40/16,658.90 = 7,993/x
  3. Step 3: Cross multiply
    11,122.40x = 16,658.90 × 7,993
  4. Step 4: Simplify right side
    11,122.40x = 133,154,587.70
  5. Step 5: Solve for x
    x = 133,154,587.70/11,122.40
  6. Step 6: Final answer
    x = 11,971.75

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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.