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Finding the Fourth Proportional to 43,821, 65,698.70 and 14,221.17

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Solution

The fourth proportional to 43,821, 65,698.70 and 14,221.17 is: 21,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,821 : 65,698.70 = 14,221.17 : x
  2. Step 2: Convert to fraction form
    43,821/65,698.70 = 14,221.17/x
  3. Step 3: Cross multiply
    43,821x = 65,698.70 × 14,221.17
  4. Step 4: Simplify right side
    43,821x = 934,312,310.37
  5. Step 5: Solve for x
    x = 934,312,310.37/43,821
  6. Step 6: Final answer
    x = 21,321.11

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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.