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Finding the Fourth Proportional to 8,203.75, 12,306.50 and 2,280.62

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Solution

The fourth proportional to 8,203.75, 12,306.50 and 2,280.62 is: 3,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.75 : 12,306.50 = 2,280.62 : x
  2. Step 2: Convert to fraction form
    8,203.75/12,306.50 = 2,280.62/x
  3. Step 3: Cross multiply
    8,203.75x = 12,306.50 × 2,280.62
  4. Step 4: Simplify right side
    8,203.75x = 28,066,450.03
  5. Step 5: Solve for x
    x = 28,066,450.03/8,203.75
  6. Step 6: Final answer
    x = 3,421.17

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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.