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Finding the Fourth Proportional to 8,751.70, 13,127.31 and 2,828.58

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Solution

The fourth proportional to 8,751.70, 13,127.31 and 2,828.58 is: 4,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,751.70 : 13,127.31 = 2,828.58 : x
  2. Step 2: Convert to fraction form
    8,751.70/13,127.31 = 2,828.58/x
  3. Step 3: Cross multiply
    8,751.70x = 13,127.31 × 2,828.58
  4. Step 4: Simplify right side
    8,751.70x = 37,131,646.52
  5. Step 5: Solve for x
    x = 37,131,646.52/8,751.70
  6. Step 6: Final answer
    x = 4,242.79

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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.