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Finding the Fourth Proportional to 12,223.80, 16,868.97 and 7,120.62

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Solution

The fourth proportional to 12,223.80, 16,868.97 and 7,120.62 is: 9,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.80 : 16,868.97 = 7,120.62 : x
  2. Step 2: Convert to fraction form
    12,223.80/16,868.97 = 7,120.62/x
  3. Step 3: Cross multiply
    12,223.80x = 16,868.97 × 7,120.62
  4. Step 4: Simplify right side
    12,223.80x = 120,117,525.16
  5. Step 5: Solve for x
    x = 120,117,525.16/12,223.80
  6. Step 6: Final answer
    x = 9,826.53

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1.5x scale

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.