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Finding the Fourth Proportional to 21,008.46, 31,514.49 and 6,965.49

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Solution

The fourth proportional to 21,008.46, 31,514.49 and 6,965.49 is: 10,448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008.46 : 31,514.49 = 6,965.49 : x
  2. Step 2: Convert to fraction form
    21,008.46/31,514.49 = 6,965.49/x
  3. Step 3: Cross multiply
    21,008.46x = 31,514.49 × 6,965.49
  4. Step 4: Simplify right side
    21,008.46x = 219,513,864.95
  5. Step 5: Solve for x
    x = 219,513,864.95/21,008.46
  6. Step 6: Final answer
    x = 10,448.83

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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.