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Finding the Fourth Proportional to 21,596.80, 29,804.16 and 12,164.80

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Solution

The fourth proportional to 21,596.80, 29,804.16 and 12,164.80 is: 16,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,596.80 : 29,804.16 = 12,164.80 : x
  2. Step 2: Convert to fraction form
    21,596.80/29,804.16 = 12,164.80/x
  3. Step 3: Cross multiply
    21,596.80x = 29,804.16 × 12,164.80
  4. Step 4: Simplify right side
    21,596.80x = 362,561,645.57
  5. Step 5: Solve for x
    x = 362,561,645.57/21,596.80
  6. Step 6: Final answer
    x = 16,787.75

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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.