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Finding the Fourth Proportional to 22,255, 33,389.16 and 12,892.84

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Solution

The fourth proportional to 22,255, 33,389.16 and 12,892.84 is: 19,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,255 : 33,389.16 = 12,892.84 : x
  2. Step 2: Convert to fraction form
    22,255/33,389.16 = 12,892.84/x
  3. Step 3: Cross multiply
    22,255x = 33,389.16 × 12,892.84
  4. Step 4: Simplify right side
    22,255x = 430,481,097.61
  5. Step 5: Solve for x
    x = 430,481,097.61/22,255
  6. Step 6: Final answer
    x = 19,343.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.