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Finding the Fourth Proportional to 8,684.78, 13,043.06 and 7,952.82

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Solution

The fourth proportional to 8,684.78, 13,043.06 and 7,952.82 is: 11,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.78 : 13,043.06 = 7,952.82 : x
  2. Step 2: Convert to fraction form
    8,684.78/13,043.06 = 7,952.82/x
  3. Step 3: Cross multiply
    8,684.78x = 13,043.06 × 7,952.82
  4. Step 4: Simplify right side
    8,684.78x = 103,729,108.43
  5. Step 5: Solve for x
    x = 103,729,108.43/8,684.78
  6. Step 6: Final answer
    x = 11,943.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.