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Finding the Fourth Proportional to 21,695.41, 32,542.50 and 6,905.21

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Solution

The fourth proportional to 21,695.41, 32,542.50 and 6,905.21 is: 10,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,695.41 : 32,542.50 = 6,905.21 : x
  2. Step 2: Convert to fraction form
    21,695.41/32,542.50 = 6,905.21/x
  3. Step 3: Cross multiply
    21,695.41x = 32,542.50 × 6,905.21
  4. Step 4: Simplify right side
    21,695.41x = 224,712,796.43
  5. Step 5: Solve for x
    x = 224,712,796.43/21,695.41
  6. Step 6: Final answer
    x = 10,357.62

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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.