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Finding the Fourth Proportional to 31,164.48, 46,747.44 and 8,978.40

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Solution

The fourth proportional to 31,164.48, 46,747.44 and 8,978.40 is: 13,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.48 : 46,747.44 = 8,978.40 : x
  2. Step 2: Convert to fraction form
    31,164.48/46,747.44 = 8,978.40/x
  3. Step 3: Cross multiply
    31,164.48x = 46,747.44 × 8,978.40
  4. Step 4: Simplify right side
    31,164.48x = 419,717,215.30
  5. Step 5: Solve for x
    x = 419,717,215.30/31,164.48
  6. Step 6: Final answer
    x = 13,467.81

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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.