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Finding the Fourth Proportional to 22,287.84, 30,756.80 and 12,216

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Solution

The fourth proportional to 22,287.84, 30,756.80 and 12,216 is: 16,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287.84 : 30,756.80 = 12,216 : x
  2. Step 2: Convert to fraction form
    22,287.84/30,756.80 = 12,216/x
  3. Step 3: Cross multiply
    22,287.84x = 30,756.80 × 12,216
  4. Step 4: Simplify right side
    22,287.84x = 375,725,068.80
  5. Step 5: Solve for x
    x = 375,725,068.80/22,287.84
  6. Step 6: Final answer
    x = 16,857.85

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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.