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Finding the Fourth Proportional to 21,694.68, 32,543.28 and 6,111

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Solution

The fourth proportional to 21,694.68, 32,543.28 and 6,111 is: 9,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,694.68 : 32,543.28 = 6,111 : x
  2. Step 2: Convert to fraction form
    21,694.68/32,543.28 = 6,111/x
  3. Step 3: Cross multiply
    21,694.68x = 32,543.28 × 6,111
  4. Step 4: Simplify right side
    21,694.68x = 198,871,984.08
  5. Step 5: Solve for x
    x = 198,871,984.08/21,694.68
  6. Step 6: Final answer
    x = 9,166.85

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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.