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Finding the Fourth Proportional to 31,979.21, 47,969.01 and 9,790.88

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Solution

The fourth proportional to 31,979.21, 47,969.01 and 9,790.88 is: 14,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,979.21 : 47,969.01 = 9,790.88 : x
  2. Step 2: Convert to fraction form
    31,979.21/47,969.01 = 9,790.88/x
  3. Step 3: Cross multiply
    31,979.21x = 47,969.01 × 9,790.88
  4. Step 4: Simplify right side
    31,979.21x = 469,658,580.78
  5. Step 5: Solve for x
    x = 469,658,580.78/31,979.21
  6. Step 6: Final answer
    x = 14,686.37

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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.