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Finding the Fourth Proportional to 31,978.29, 47,963.75 and 8,602.89

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Solution

The fourth proportional to 31,978.29, 47,963.75 and 8,602.89 is: 12,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978.29 : 47,963.75 = 8,602.89 : x
  2. Step 2: Convert to fraction form
    31,978.29/47,963.75 = 8,602.89/x
  3. Step 3: Cross multiply
    31,978.29x = 47,963.75 × 8,602.89
  4. Step 4: Simplify right side
    31,978.29x = 412,626,822.22
  5. Step 5: Solve for x
    x = 412,626,822.22/31,978.29
  6. Step 6: Final answer
    x = 12,903.34

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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.