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Finding the Fourth Proportional to 31,344.78, 47,017.48 and 7,971.22

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Solution

The fourth proportional to 31,344.78, 47,017.48 and 7,971.22 is: 11,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,344.78 : 47,017.48 = 7,971.22 : x
  2. Step 2: Convert to fraction form
    31,344.78/47,017.48 = 7,971.22/x
  3. Step 3: Cross multiply
    31,344.78x = 47,017.48 × 7,971.22
  4. Step 4: Simplify right side
    31,344.78x = 374,786,676.93
  5. Step 5: Solve for x
    x = 374,786,676.93/31,344.78
  6. Step 6: Final answer
    x = 11,956.91

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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.