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Finding the Fourth Proportional to 14,221.80, 21,342.30 and 7,981.80

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Solution

The fourth proportional to 14,221.80, 21,342.30 and 7,981.80 is: 11,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.80 : 21,342.30 = 7,981.80 : x
  2. Step 2: Convert to fraction form
    14,221.80/21,342.30 = 7,981.80/x
  3. Step 3: Cross multiply
    14,221.80x = 21,342.30 × 7,981.80
  4. Step 4: Simplify right side
    14,221.80x = 170,349,970.14
  5. Step 5: Solve for x
    x = 170,349,970.14/14,221.80
  6. Step 6: Final answer
    x = 11,978.09

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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.