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Finding the Fourth Proportional to 12,846.78, 17,733.65 and 8,065.44

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Solution

The fourth proportional to 12,846.78, 17,733.65 and 8,065.44 is: 11,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.78 : 17,733.65 = 8,065.44 : x
  2. Step 2: Convert to fraction form
    12,846.78/17,733.65 = 8,065.44/x
  3. Step 3: Cross multiply
    12,846.78x = 17,733.65 × 8,065.44
  4. Step 4: Simplify right side
    12,846.78x = 143,029,649.73
  5. Step 5: Solve for x
    x = 143,029,649.73/12,846.78
  6. Step 6: Final answer
    x = 11,133.50

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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.