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Finding the Fourth Proportional to 20,690, 31,010.68 and 9,573.21

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Solution

The fourth proportional to 20,690, 31,010.68 and 9,573.21 is: 14,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690 : 31,010.68 = 9,573.21 : x
  2. Step 2: Convert to fraction form
    20,690/31,010.68 = 9,573.21/x
  3. Step 3: Cross multiply
    20,690x = 31,010.68 × 9,573.21
  4. Step 4: Simplify right side
    20,690x = 296,871,751.88
  5. Step 5: Solve for x
    x = 296,871,751.88/20,690
  6. Step 6: Final answer
    x = 14,348.56

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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.