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Finding the Fourth Proportional to 12,757.58, 17,597.68 and 8,974.07

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Solution

The fourth proportional to 12,757.58, 17,597.68 and 8,974.07 is: 12,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.58 : 17,597.68 = 8,974.07 : x
  2. Step 2: Convert to fraction form
    12,757.58/17,597.68 = 8,974.07/x
  3. Step 3: Cross multiply
    12,757.58x = 17,597.68 × 8,974.07
  4. Step 4: Simplify right side
    12,757.58x = 157,922,701.73
  5. Step 5: Solve for x
    x = 157,922,701.73/12,757.58
  6. Step 6: Final answer
    x = 12,378.74

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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.