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Finding the Fourth Proportional to 21,606.22, 32,415 and 6,815.62

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Solution

The fourth proportional to 21,606.22, 32,415 and 6,815.62 is: 10,225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,606.22 : 32,415 = 6,815.62 : x
  2. Step 2: Convert to fraction form
    21,606.22/32,415 = 6,815.62/x
  3. Step 3: Cross multiply
    21,606.22x = 32,415 × 6,815.62
  4. Step 4: Simplify right side
    21,606.22x = 220,928,322.30
  5. Step 5: Solve for x
    x = 220,928,322.30/21,606.22
  6. Step 6: Final answer
    x = 10,225.22

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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.