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Finding the Fourth Proportional to 8,722.64, 13,071 and 3,525.68

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Solution

The fourth proportional to 8,722.64, 13,071 and 3,525.68 is: 5,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.64 : 13,071 = 3,525.68 : x
  2. Step 2: Convert to fraction form
    8,722.64/13,071 = 3,525.68/x
  3. Step 3: Cross multiply
    8,722.64x = 13,071 × 3,525.68
  4. Step 4: Simplify right side
    8,722.64x = 46,084,163.28
  5. Step 5: Solve for x
    x = 46,084,163.28/8,722.64
  6. Step 6: Final answer
    x = 5,283.28

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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.