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Finding the Fourth Proportional to 14,462, 21,678.24 and 8,208.80

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Solution

The fourth proportional to 14,462, 21,678.24 and 8,208.80 is: 12,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462 : 21,678.24 = 8,208.80 : x
  2. Step 2: Convert to fraction form
    14,462/21,678.24 = 8,208.80/x
  3. Step 3: Cross multiply
    14,462x = 21,678.24 × 8,208.80
  4. Step 4: Simplify right side
    14,462x = 177,952,336.51
  5. Step 5: Solve for x
    x = 177,952,336.51/14,462
  6. Step 6: Final answer
    x = 12,304.82

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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.