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Finding the Fourth Proportional to 14,589, 21,881.88 and 5,228.64

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Solution

The fourth proportional to 14,589, 21,881.88 and 5,228.64 is: 7,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589 : 21,881.88 = 5,228.64 : x
  2. Step 2: Convert to fraction form
    14,589/21,881.88 = 5,228.64/x
  3. Step 3: Cross multiply
    14,589x = 21,881.88 × 5,228.64
  4. Step 4: Simplify right side
    14,589x = 114,412,473.04
  5. Step 5: Solve for x
    x = 114,412,473.04/14,589
  6. Step 6: Final answer
    x = 7,842.38

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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.