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Finding the Fourth Proportional to 21,907.71, 30,232.62 and 11,971.71

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Solution

The fourth proportional to 21,907.71, 30,232.62 and 11,971.71 is: 16,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.71 : 30,232.62 = 11,971.71 : x
  2. Step 2: Convert to fraction form
    21,907.71/30,232.62 = 11,971.71/x
  3. Step 3: Cross multiply
    21,907.71x = 30,232.62 × 11,971.71
  4. Step 4: Simplify right side
    21,907.71x = 361,936,159.18
  5. Step 5: Solve for x
    x = 361,936,159.18/21,907.71
  6. Step 6: Final answer
    x = 16,520.95

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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.