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Finding the Fourth Proportional to 21,177.80, 29,224.80 and 12,225

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Solution

The fourth proportional to 21,177.80, 29,224.80 and 12,225 is: 16,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177.80 : 29,224.80 = 12,225 : x
  2. Step 2: Convert to fraction form
    21,177.80/29,224.80 = 12,225/x
  3. Step 3: Cross multiply
    21,177.80x = 29,224.80 × 12,225
  4. Step 4: Simplify right side
    21,177.80x = 357,273,180
  5. Step 5: Solve for x
    x = 357,273,180/21,177.80
  6. Step 6: Final answer
    x = 16,870.17

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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.