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Finding the Fourth Proportional to 21,762.69, 30,034.98 and 12,205.14

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Solution

The fourth proportional to 21,762.69, 30,034.98 and 12,205.14 is: 16,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762.69 : 30,034.98 = 12,205.14 : x
  2. Step 2: Convert to fraction form
    21,762.69/30,034.98 = 12,205.14/x
  3. Step 3: Cross multiply
    21,762.69x = 30,034.98 × 12,205.14
  4. Step 4: Simplify right side
    21,762.69x = 366,581,135.80
  5. Step 5: Solve for x
    x = 366,581,135.80/21,762.69
  6. Step 6: Final answer
    x = 16,844.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.