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Finding the Fourth Proportional to 12,262.38, 16,924.95 and 7,782.54

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Solution

The fourth proportional to 12,262.38, 16,924.95 and 7,782.54 is: 10,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.38 : 16,924.95 = 7,782.54 : x
  2. Step 2: Convert to fraction form
    12,262.38/16,924.95 = 7,782.54/x
  3. Step 3: Cross multiply
    12,262.38x = 16,924.95 × 7,782.54
  4. Step 4: Simplify right side
    12,262.38x = 131,719,100.37
  5. Step 5: Solve for x
    x = 131,719,100.37/12,262.38
  6. Step 6: Final answer
    x = 10,741.72

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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.