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Finding the Fourth Proportional to 31,341.78, 47,012.78 and 7,968.22

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Solution

The fourth proportional to 31,341.78, 47,012.78 and 7,968.22 is: 11,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,341.78 : 47,012.78 = 7,968.22 : x
  2. Step 2: Convert to fraction form
    31,341.78/47,012.78 = 7,968.22/x
  3. Step 3: Cross multiply
    31,341.78x = 47,012.78 × 7,968.22
  4. Step 4: Simplify right side
    31,341.78x = 374,608,173.85
  5. Step 5: Solve for x
    x = 374,608,173.85/31,341.78
  6. Step 6: Final answer
    x = 11,952.36

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1.5x scale

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.