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Finding the Fourth Proportional to 12,776.14, 17,631.03 and 7,110.73

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Solution

The fourth proportional to 12,776.14, 17,631.03 and 7,110.73 is: 9,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.14 : 17,631.03 = 7,110.73 : x
  2. Step 2: Convert to fraction form
    12,776.14/17,631.03 = 7,110.73/x
  3. Step 3: Cross multiply
    12,776.14x = 17,631.03 × 7,110.73
  4. Step 4: Simplify right side
    12,776.14x = 125,369,493.95
  5. Step 5: Solve for x
    x = 125,369,493.95/12,776.14
  6. Step 6: Final answer
    x = 9,812.78

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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.