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Finding the Fourth Proportional to 21,441.80, 29,591.25 and 12,946.01

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Solution

The fourth proportional to 21,441.80, 29,591.25 and 12,946.01 is: 17,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,441.80 : 29,591.25 = 12,946.01 : x
  2. Step 2: Convert to fraction form
    21,441.80/29,591.25 = 12,946.01/x
  3. Step 3: Cross multiply
    21,441.80x = 29,591.25 × 12,946.01
  4. Step 4: Simplify right side
    21,441.80x = 383,088,618.41
  5. Step 5: Solve for x
    x = 383,088,618.41/21,441.80
  6. Step 6: Final answer
    x = 17,866.44

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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.