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Finding the Fourth Proportional to 31,984.68, 47,978.46 and 9,796.44

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Solution

The fourth proportional to 31,984.68, 47,978.46 and 9,796.44 is: 14,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984.68 : 47,978.46 = 9,796.44 : x
  2. Step 2: Convert to fraction form
    31,984.68/47,978.46 = 9,796.44/x
  3. Step 3: Cross multiply
    31,984.68x = 47,978.46 × 9,796.44
  4. Step 4: Simplify right side
    31,984.68x = 470,018,104.68
  5. Step 5: Solve for x
    x = 470,018,104.68/31,984.68
  6. Step 6: Final answer
    x = 14,695.10

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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.