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Finding the Fourth Proportional to 12,257.88, 16,906.71 and 7,782.94

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Solution

The fourth proportional to 12,257.88, 16,906.71 and 7,782.94 is: 10,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.88 : 16,906.71 = 7,782.94 : x
  2. Step 2: Convert to fraction form
    12,257.88/16,906.71 = 7,782.94/x
  3. Step 3: Cross multiply
    12,257.88x = 16,906.71 × 7,782.94
  4. Step 4: Simplify right side
    12,257.88x = 131,583,909.53
  5. Step 5: Solve for x
    x = 131,583,909.53/12,257.88
  6. Step 6: Final answer
    x = 10,734.64

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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.