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Finding the Fourth Proportional to 8,552, 12,828 and 2,709.06

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Solution

The fourth proportional to 8,552, 12,828 and 2,709.06 is: 4,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,552 : 12,828 = 2,709.06 : x
  2. Step 2: Convert to fraction form
    8,552/12,828 = 2,709.06/x
  3. Step 3: Cross multiply
    8,552x = 12,828 × 2,709.06
  4. Step 4: Simplify right side
    8,552x = 34,751,821.68
  5. Step 5: Solve for x
    x = 34,751,821.68/8,552
  6. Step 6: Final answer
    x = 4,063.59

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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.