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Finding the Fourth Proportional to 21,051.18, 31,565.16 and 8,568

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Solution

The fourth proportional to 21,051.18, 31,565.16 and 8,568 is: 12,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,051.18 : 31,565.16 = 8,568 : x
  2. Step 2: Convert to fraction form
    21,051.18/31,565.16 = 8,568/x
  3. Step 3: Cross multiply
    21,051.18x = 31,565.16 × 8,568
  4. Step 4: Simplify right side
    21,051.18x = 270,450,290.88
  5. Step 5: Solve for x
    x = 270,450,290.88/21,051.18
  6. Step 6: Final answer
    x = 12,847.27

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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.