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Finding the Fourth Proportional to 8,522.98, 12,773.13 and 4,822.90

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Solution

The fourth proportional to 8,522.98, 12,773.13 and 4,822.90 is: 7,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.98 : 12,773.13 = 4,822.90 : x
  2. Step 2: Convert to fraction form
    8,522.98/12,773.13 = 4,822.90/x
  3. Step 3: Cross multiply
    8,522.98x = 12,773.13 × 4,822.90
  4. Step 4: Simplify right side
    8,522.98x = 61,603,528.68
  5. Step 5: Solve for x
    x = 61,603,528.68/8,522.98
  6. Step 6: Final answer
    x = 7,227.93

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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.