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Finding the Fourth Proportional to 20,817, 31,230.90 and 7,489.53

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Solution

The fourth proportional to 20,817, 31,230.90 and 7,489.53 is: 11,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817 : 31,230.90 = 7,489.53 : x
  2. Step 2: Convert to fraction form
    20,817/31,230.90 = 7,489.53/x
  3. Step 3: Cross multiply
    20,817x = 31,230.90 × 7,489.53
  4. Step 4: Simplify right side
    20,817x = 233,904,762.48
  5. Step 5: Solve for x
    x = 233,904,762.48/20,817
  6. Step 6: Final answer
    x = 11,236.24

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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.