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Finding the Fourth Proportional to 12,777.58, 17,634.81 and 7,473.70

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Solution

The fourth proportional to 12,777.58, 17,634.81 and 7,473.70 is: 10,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.58 : 17,634.81 = 7,473.70 : x
  2. Step 2: Convert to fraction form
    12,777.58/17,634.81 = 7,473.70/x
  3. Step 3: Cross multiply
    12,777.58x = 17,634.81 × 7,473.70
  4. Step 4: Simplify right side
    12,777.58x = 131,797,279.50
  5. Step 5: Solve for x
    x = 131,797,279.50/12,777.58
  6. Step 6: Final answer
    x = 10,314.73

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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.