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Finding the Fourth Proportional to 8,530.38, 12,822.90 and 8,092.98

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Solution

The fourth proportional to 8,530.38, 12,822.90 and 8,092.98 is: 12,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.38 : 12,822.90 = 8,092.98 : x
  2. Step 2: Convert to fraction form
    8,530.38/12,822.90 = 8,092.98/x
  3. Step 3: Cross multiply
    8,530.38x = 12,822.90 × 8,092.98
  4. Step 4: Simplify right side
    8,530.38x = 103,775,473.24
  5. Step 5: Solve for x
    x = 103,775,473.24/8,530.38
  6. Step 6: Final answer
    x = 12,165.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.