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Finding the Fourth Proportional to 20,859.67, 31,267.64 and 9,757

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Solution

The fourth proportional to 20,859.67, 31,267.64 and 9,757 is: 14,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859.67 : 31,267.64 = 9,757 : x
  2. Step 2: Convert to fraction form
    20,859.67/31,267.64 = 9,757/x
  3. Step 3: Cross multiply
    20,859.67x = 31,267.64 × 9,757
  4. Step 4: Simplify right side
    20,859.67x = 305,078,314.70
  5. Step 5: Solve for x
    x = 305,078,314.70/20,859.67
  6. Step 6: Final answer
    x = 14,625.27

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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.