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Finding the Fourth Proportional to 31,978.36, 47,965.74 and 9,791.74

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Solution

The fourth proportional to 31,978.36, 47,965.74 and 9,791.74 is: 14,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978.36 : 47,965.74 = 9,791.74 : x
  2. Step 2: Convert to fraction form
    31,978.36/47,965.74 = 9,791.74/x
  3. Step 3: Cross multiply
    31,978.36x = 47,965.74 × 9,791.74
  4. Step 4: Simplify right side
    31,978.36x = 469,668,054.99
  5. Step 5: Solve for x
    x = 469,668,054.99/31,978.36
  6. Step 6: Final answer
    x = 14,687.06

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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.