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Finding the Fourth Proportional to 21,602.22, 32,409 and 6,811.62

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Solution

The fourth proportional to 21,602.22, 32,409 and 6,811.62 is: 10,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.22 : 32,409 = 6,811.62 : x
  2. Step 2: Convert to fraction form
    21,602.22/32,409 = 6,811.62/x
  3. Step 3: Cross multiply
    21,602.22x = 32,409 × 6,811.62
  4. Step 4: Simplify right side
    21,602.22x = 220,757,792.58
  5. Step 5: Solve for x
    x = 220,757,792.58/21,602.22
  6. Step 6: Final answer
    x = 10,219.22

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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.