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Finding the Fourth Proportional to 21,792.80, 32,682 and 6,998.16

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Solution

The fourth proportional to 21,792.80, 32,682 and 6,998.16 is: 10,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,792.80 : 32,682 = 6,998.16 : x
  2. Step 2: Convert to fraction form
    21,792.80/32,682 = 6,998.16/x
  3. Step 3: Cross multiply
    21,792.80x = 32,682 × 6,998.16
  4. Step 4: Simplify right side
    21,792.80x = 228,713,865.12
  5. Step 5: Solve for x
    x = 228,713,865.12/21,792.80
  6. Step 6: Final answer
    x = 10,494.93

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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.