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Finding the Fourth Proportional to 43,801.10, 65,720.50 and 14,228

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Solution

The fourth proportional to 43,801.10, 65,720.50 and 14,228 is: 21,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,801.10 : 65,720.50 = 14,228 : x
  2. Step 2: Convert to fraction form
    43,801.10/65,720.50 = 14,228/x
  3. Step 3: Cross multiply
    43,801.10x = 65,720.50 × 14,228
  4. Step 4: Simplify right side
    43,801.10x = 935,071,274
  5. Step 5: Solve for x
    x = 935,071,274/43,801.10
  6. Step 6: Final answer
    x = 21,348.12

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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.