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Finding the Fourth Proportional to 8,685.84, 11,930.40 and 8,519.82

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Solution

The fourth proportional to 8,685.84, 11,930.40 and 8,519.82 is: 11,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685.84 : 11,930.40 = 8,519.82 : x
  2. Step 2: Convert to fraction form
    8,685.84/11,930.40 = 8,519.82/x
  3. Step 3: Cross multiply
    8,685.84x = 11,930.40 × 8,519.82
  4. Step 4: Simplify right side
    8,685.84x = 101,644,860.53
  5. Step 5: Solve for x
    x = 101,644,860.53/8,685.84
  6. Step 6: Final answer
    x = 11,702.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.