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Finding the Fourth Proportional to 8,521.98, 12,771.63 and 4,821.90

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Solution

The fourth proportional to 8,521.98, 12,771.63 and 4,821.90 is: 7,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.98 : 12,771.63 = 4,821.90 : x
  2. Step 2: Convert to fraction form
    8,521.98/12,771.63 = 4,821.90/x
  3. Step 3: Cross multiply
    8,521.98x = 12,771.63 × 4,821.90
  4. Step 4: Simplify right side
    8,521.98x = 61,583,522.70
  5. Step 5: Solve for x
    x = 61,583,522.70/8,521.98
  6. Step 6: Final answer
    x = 7,226.43

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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.