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Finding the Fourth Proportional to 8,722.63, 13,085.10 and 2,797.54

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Solution

The fourth proportional to 8,722.63, 13,085.10 and 2,797.54 is: 4,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.63 : 13,085.10 = 2,797.54 : x
  2. Step 2: Convert to fraction form
    8,722.63/13,085.10 = 2,797.54/x
  3. Step 3: Cross multiply
    8,722.63x = 13,085.10 × 2,797.54
  4. Step 4: Simplify right side
    8,722.63x = 36,606,090.65
  5. Step 5: Solve for x
    x = 36,606,090.65/8,722.63
  6. Step 6: Final answer
    x = 4,196.68

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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.