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Finding the Fourth Proportional to 7,553.76, 11,319.12 and 4,812

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Solution

The fourth proportional to 7,553.76, 11,319.12 and 4,812 is: 7,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,553.76 : 11,319.12 = 4,812 : x
  2. Step 2: Convert to fraction form
    7,553.76/11,319.12 = 4,812/x
  3. Step 3: Cross multiply
    7,553.76x = 11,319.12 × 4,812
  4. Step 4: Simplify right side
    7,553.76x = 54,467,605.44
  5. Step 5: Solve for x
    x = 54,467,605.44/7,553.76
  6. Step 6: Final answer
    x = 7,210.66

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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.