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Finding the Fourth Proportional to 21,531.26, 29,713.11 and 11,970.84

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Solution

The fourth proportional to 21,531.26, 29,713.11 and 11,970.84 is: 16,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,531.26 : 29,713.11 = 11,970.84 : x
  2. Step 2: Convert to fraction form
    21,531.26/29,713.11 = 11,970.84/x
  3. Step 3: Cross multiply
    21,531.26x = 29,713.11 × 11,970.84
  4. Step 4: Simplify right side
    21,531.26x = 355,690,825.86
  5. Step 5: Solve for x
    x = 355,690,825.86/21,531.26
  6. Step 6: Final answer
    x = 16,519.74

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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.