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Finding the Fourth Proportional to 12,263.90, 16,925.42 and 7,229.75

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Solution

The fourth proportional to 12,263.90, 16,925.42 and 7,229.75 is: 9,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.90 : 16,925.42 = 7,229.75 : x
  2. Step 2: Convert to fraction form
    12,263.90/16,925.42 = 7,229.75/x
  3. Step 3: Cross multiply
    12,263.90x = 16,925.42 × 7,229.75
  4. Step 4: Simplify right side
    12,263.90x = 122,366,488.69
  5. Step 5: Solve for x
    x = 122,366,488.69/12,263.90
  6. Step 6: Final answer
    x = 9,977.78

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