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Finding the Fourth Proportional to 21,987.88, 32,983.98 and 9,505.96

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Solution

The fourth proportional to 21,987.88, 32,983.98 and 9,505.96 is: 14,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987.88 : 32,983.98 = 9,505.96 : x
  2. Step 2: Convert to fraction form
    21,987.88/32,983.98 = 9,505.96/x
  3. Step 3: Cross multiply
    21,987.88x = 32,983.98 × 9,505.96
  4. Step 4: Simplify right side
    21,987.88x = 313,544,394.52
  5. Step 5: Solve for x
    x = 313,544,394.52/21,987.88
  6. Step 6: Final answer
    x = 14,259.87

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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.