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Finding the Fourth Proportional to 12,993.75, 17,931.90 and 8,211.96

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Solution

The fourth proportional to 12,993.75, 17,931.90 and 8,211.96 is: 11,332.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.75 : 17,931.90 = 8,211.96 : x
  2. Step 2: Convert to fraction form
    12,993.75/17,931.90 = 8,211.96/x
  3. Step 3: Cross multiply
    12,993.75x = 17,931.90 × 8,211.96
  4. Step 4: Simplify right side
    12,993.75x = 147,256,045.52
  5. Step 5: Solve for x
    x = 147,256,045.52/12,993.75
  6. Step 6: Final answer
    x = 11,332.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.