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Finding the Fourth Proportional to 8,692.11, 11,986.47 and 6,543.80

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Solution

The fourth proportional to 8,692.11, 11,986.47 and 6,543.80 is: 9,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.11 : 11,986.47 = 6,543.80 : x
  2. Step 2: Convert to fraction form
    8,692.11/11,986.47 = 6,543.80/x
  3. Step 3: Cross multiply
    8,692.11x = 11,986.47 × 6,543.80
  4. Step 4: Simplify right side
    8,692.11x = 78,437,062.39
  5. Step 5: Solve for x
    x = 78,437,062.39/8,692.11
  6. Step 6: Final answer
    x = 9,023.94

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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.