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Finding the Fourth Proportional to 8,686.02, 11,977.92 and 7,725.90

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Solution

The fourth proportional to 8,686.02, 11,977.92 and 7,725.90 is: 10,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.02 : 11,977.92 = 7,725.90 : x
  2. Step 2: Convert to fraction form
    8,686.02/11,977.92 = 7,725.90/x
  3. Step 3: Cross multiply
    8,686.02x = 11,977.92 × 7,725.90
  4. Step 4: Simplify right side
    8,686.02x = 92,540,257.05
  5. Step 5: Solve for x
    x = 92,540,257.05/8,686.02
  6. Step 6: Final answer
    x = 10,653.93

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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.