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Finding the Fourth Proportional to 21,224.58, 31,830.21 and 7,182

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Solution

The fourth proportional to 21,224.58, 31,830.21 and 7,182 is: 10,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.58 : 31,830.21 = 7,182 : x
  2. Step 2: Convert to fraction form
    21,224.58/31,830.21 = 7,182/x
  3. Step 3: Cross multiply
    21,224.58x = 31,830.21 × 7,182
  4. Step 4: Simplify right side
    21,224.58x = 228,604,568.22
  5. Step 5: Solve for x
    x = 228,604,568.22/21,224.58
  6. Step 6: Final answer
    x = 10,770.75

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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.