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Finding the Fourth Proportional to 21,311.88, 31,978.80 and 9,473.82

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Solution

The fourth proportional to 21,311.88, 31,978.80 and 9,473.82 is: 14,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311.88 : 31,978.80 = 9,473.82 : x
  2. Step 2: Convert to fraction form
    21,311.88/31,978.80 = 9,473.82/x
  3. Step 3: Cross multiply
    21,311.88x = 31,978.80 × 9,473.82
  4. Step 4: Simplify right side
    21,311.88x = 302,961,395.02
  5. Step 5: Solve for x
    x = 302,961,395.02/21,311.88
  6. Step 6: Final answer
    x = 14,215.61

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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.