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Finding the Fourth Proportional to 14,600.25, 21,900.78 and 4,212

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Solution

The fourth proportional to 14,600.25, 21,900.78 and 4,212 is: 6,318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.25 : 21,900.78 = 4,212 : x
  2. Step 2: Convert to fraction form
    14,600.25/21,900.78 = 4,212/x
  3. Step 3: Cross multiply
    14,600.25x = 21,900.78 × 4,212
  4. Step 4: Simplify right side
    14,600.25x = 92,246,085.36
  5. Step 5: Solve for x
    x = 92,246,085.36/14,600.25
  6. Step 6: Final answer
    x = 6,318.12

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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.