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Finding the Fourth Proportional to 8,692.66, 11,991.90 and 5,153.86

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Solution

The fourth proportional to 8,692.66, 11,991.90 and 5,153.86 is: 7,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.66 : 11,991.90 = 5,153.86 : x
  2. Step 2: Convert to fraction form
    8,692.66/11,991.90 = 5,153.86/x
  3. Step 3: Cross multiply
    8,692.66x = 11,991.90 × 5,153.86
  4. Step 4: Simplify right side
    8,692.66x = 61,804,573.73
  5. Step 5: Solve for x
    x = 61,804,573.73/8,692.66
  6. Step 6: Final answer
    x = 7,109.97

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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.