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Finding the Fourth Proportional to 31,921.29, 47,881.94 and 8,548.34

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Solution

The fourth proportional to 31,921.29, 47,881.94 and 8,548.34 is: 12,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,921.29 : 47,881.94 = 8,548.34 : x
  2. Step 2: Convert to fraction form
    31,921.29/47,881.94 = 8,548.34/x
  3. Step 3: Cross multiply
    31,921.29x = 47,881.94 × 8,548.34
  4. Step 4: Simplify right side
    31,921.29x = 409,310,820.83
  5. Step 5: Solve for x
    x = 409,310,820.83/31,921.29
  6. Step 6: Final answer
    x = 12,822.50

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Similar ratio
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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.