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Finding the Fourth Proportional to 21,267.31, 31,900.97 and 9,566.86

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Solution

The fourth proportional to 21,267.31, 31,900.97 and 9,566.86 is: 14,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,267.31 : 31,900.97 = 9,566.86 : x
  2. Step 2: Convert to fraction form
    21,267.31/31,900.97 = 9,566.86/x
  3. Step 3: Cross multiply
    21,267.31x = 31,900.97 × 9,566.86
  4. Step 4: Simplify right side
    21,267.31x = 305,192,058.02
  5. Step 5: Solve for x
    x = 305,192,058.02/21,267.31
  6. Step 6: Final answer
    x = 14,350.29

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1.5x scale

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.