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Finding the Fourth Proportional to 31,979.48, 47,969.40 and 8,285.39

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Solution

The fourth proportional to 31,979.48, 47,969.40 and 8,285.39 is: 12,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,979.48 : 47,969.40 = 8,285.39 : x
  2. Step 2: Convert to fraction form
    31,979.48/47,969.40 = 8,285.39/x
  3. Step 3: Cross multiply
    31,979.48x = 47,969.40 × 8,285.39
  4. Step 4: Simplify right side
    31,979.48x = 397,445,094.09
  5. Step 5: Solve for x
    x = 397,445,094.09/31,979.48
  6. Step 6: Final answer
    x = 12,428.13

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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.