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Finding the Fourth Proportional to 12,266.88, 16,922.67 and 7,228.68

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Solution

The fourth proportional to 12,266.88, 16,922.67 and 7,228.68 is: 9,972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.88 : 16,922.67 = 7,228.68 : x
  2. Step 2: Convert to fraction form
    12,266.88/16,922.67 = 7,228.68/x
  3. Step 3: Cross multiply
    12,266.88x = 16,922.67 × 7,228.68
  4. Step 4: Simplify right side
    12,266.88x = 122,328,566.18
  5. Step 5: Solve for x
    x = 122,328,566.18/12,266.88
  6. Step 6: Final answer
    x = 9,972.26

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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.