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Finding the Fourth Proportional to 8,685.76, 11,977 and 8,503.48

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Solution

The fourth proportional to 8,685.76, 11,977 and 8,503.48 is: 11,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685.76 : 11,977 = 8,503.48 : x
  2. Step 2: Convert to fraction form
    8,685.76/11,977 = 8,503.48/x
  3. Step 3: Cross multiply
    8,685.76x = 11,977 × 8,503.48
  4. Step 4: Simplify right side
    8,685.76x = 101,846,179.96
  5. Step 5: Solve for x
    x = 101,846,179.96/8,685.76
  6. Step 6: Final answer
    x = 11,725.65

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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.