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Finding the Fourth Proportional to 21,239.88, 31,859.82 and 6,448.88

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Solution

The fourth proportional to 21,239.88, 31,859.82 and 6,448.88 is: 9,673.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,239.88 : 31,859.82 = 6,448.88 : x
  2. Step 2: Convert to fraction form
    21,239.88/31,859.82 = 6,448.88/x
  3. Step 3: Cross multiply
    21,239.88x = 31,859.82 × 6,448.88
  4. Step 4: Simplify right side
    21,239.88x = 205,459,996.70
  5. Step 5: Solve for x
    x = 205,459,996.70/21,239.88
  6. Step 6: Final answer
    x = 9,673.31

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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.