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Finding the Fourth Proportional to 31,980.72, 47,973.38 and 9,791.21

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Solution

The fourth proportional to 31,980.72, 47,973.38 and 9,791.21 is: 14,687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,980.72 : 47,973.38 = 9,791.21 : x
  2. Step 2: Convert to fraction form
    31,980.72/47,973.38 = 9,791.21/x
  3. Step 3: Cross multiply
    31,980.72x = 47,973.38 × 9,791.21
  4. Step 4: Simplify right side
    31,980.72x = 469,717,437.99
  5. Step 5: Solve for x
    x = 469,717,437.99/31,980.72
  6. Step 6: Final answer
    x = 14,687.52

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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.