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Finding the Fourth Proportional to 21,009.49, 31,486.97 and 8,514.90

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Solution

The fourth proportional to 21,009.49, 31,486.97 and 8,514.90 is: 12,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.49 : 31,486.97 = 8,514.90 : x
  2. Step 2: Convert to fraction form
    21,009.49/31,486.97 = 8,514.90/x
  3. Step 3: Cross multiply
    21,009.49x = 31,486.97 × 8,514.90
  4. Step 4: Simplify right side
    21,009.49x = 268,108,422.14
  5. Step 5: Solve for x
    x = 268,108,422.14/21,009.49
  6. Step 6: Final answer
    x = 12,761.30

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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.