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Finding the Fourth Proportional to 21,653, 29,881.16 and 12,221.36

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Solution

The fourth proportional to 21,653, 29,881.16 and 12,221.36 is: 16,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653 : 29,881.16 = 12,221.36 : x
  2. Step 2: Convert to fraction form
    21,653/29,881.16 = 12,221.36/x
  3. Step 3: Cross multiply
    21,653x = 29,881.16 × 12,221.36
  4. Step 4: Simplify right side
    21,653x = 365,188,413.58
  5. Step 5: Solve for x
    x = 365,188,413.58/21,653
  6. Step 6: Final answer
    x = 16,865.49

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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.