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Finding the Fourth Proportional to 21,643.61, 29,867.94 and 12,211.97

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Solution

The fourth proportional to 21,643.61, 29,867.94 and 12,211.97 is: 16,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.61 : 29,867.94 = 12,211.97 : x
  2. Step 2: Convert to fraction form
    21,643.61/29,867.94 = 12,211.97/x
  3. Step 3: Cross multiply
    21,643.61x = 29,867.94 × 12,211.97
  4. Step 4: Simplify right side
    21,643.61x = 364,746,237.90
  5. Step 5: Solve for x
    x = 364,746,237.90/21,643.61
  6. Step 6: Final answer
    x = 16,852.38

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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.