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Finding the Fourth Proportional to 20,001.75, 30,020.82 and 10,649.61

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Solution

The fourth proportional to 20,001.75, 30,020.82 and 10,649.61 is: 15,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,001.75 : 30,020.82 = 10,649.61 : x
  2. Step 2: Convert to fraction form
    20,001.75/30,020.82 = 10,649.61/x
  3. Step 3: Cross multiply
    20,001.75x = 30,020.82 × 10,649.61
  4. Step 4: Simplify right side
    20,001.75x = 319,710,024.88
  5. Step 5: Solve for x
    x = 319,710,024.88/20,001.75
  6. Step 6: Final answer
    x = 15,984.10

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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.