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Finding the Fourth Proportional to 30,523.68, 45,642.69 and 21,731.94

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Solution

The fourth proportional to 30,523.68, 45,642.69 and 21,731.94 is: 32,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523.68 : 45,642.69 = 21,731.94 : x
  2. Step 2: Convert to fraction form
    30,523.68/45,642.69 = 21,731.94/x
  3. Step 3: Cross multiply
    30,523.68x = 45,642.69 × 21,731.94
  4. Step 4: Simplify right side
    30,523.68x = 991,904,200.52
  5. Step 5: Solve for x
    x = 991,904,200.52/30,523.68
  6. Step 6: Final answer
    x = 32,496.22

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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.