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Finding the Fourth Proportional to 21,697.30, 32,541.38 and 6,111.28

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Solution

The fourth proportional to 21,697.30, 32,541.38 and 6,111.28 is: 9,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.30 : 32,541.38 = 6,111.28 : x
  2. Step 2: Convert to fraction form
    21,697.30/32,541.38 = 6,111.28/x
  3. Step 3: Cross multiply
    21,697.30x = 32,541.38 × 6,111.28
  4. Step 4: Simplify right side
    21,697.30x = 198,869,517.80
  5. Step 5: Solve for x
    x = 198,869,517.80/21,697.30
  6. Step 6: Final answer
    x = 9,165.63

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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.