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Finding the Fourth Proportional to 14,661.75, 21,978.96 and 5,781.90

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Solution

The fourth proportional to 14,661.75, 21,978.96 and 5,781.90 is: 8,667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.75 : 21,978.96 = 5,781.90 : x
  2. Step 2: Convert to fraction form
    14,661.75/21,978.96 = 5,781.90/x
  3. Step 3: Cross multiply
    14,661.75x = 21,978.96 × 5,781.90
  4. Step 4: Simplify right side
    14,661.75x = 127,080,148.82
  5. Step 5: Solve for x
    x = 127,080,148.82/14,661.75
  6. Step 6: Final answer
    x = 8,667.46

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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.