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Finding the Fourth Proportional to 21,794.63, 30,069.95 and 12,838.86

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Solution

The fourth proportional to 21,794.63, 30,069.95 and 12,838.86 is: 17,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.63 : 30,069.95 = 12,838.86 : x
  2. Step 2: Convert to fraction form
    21,794.63/30,069.95 = 12,838.86/x
  3. Step 3: Cross multiply
    21,794.63x = 30,069.95 × 12,838.86
  4. Step 4: Simplify right side
    21,794.63x = 386,063,814.06
  5. Step 5: Solve for x
    x = 386,063,814.06/21,794.63
  6. Step 6: Final answer
    x = 17,713.72

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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.