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Finding the Fourth Proportional to 31,768.76, 47,652.86 and 8,076.38

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Solution

The fourth proportional to 31,768.76, 47,652.86 and 8,076.38 is: 12,114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,768.76 : 47,652.86 = 8,076.38 : x
  2. Step 2: Convert to fraction form
    31,768.76/47,652.86 = 8,076.38/x
  3. Step 3: Cross multiply
    31,768.76x = 47,652.86 × 8,076.38
  4. Step 4: Simplify right side
    31,768.76x = 384,862,326.80
  5. Step 5: Solve for x
    x = 384,862,326.80/31,768.76
  6. Step 6: Final answer
    x = 12,114.49

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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.