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Finding the Fourth Proportional to 8,047.78, 12,071.70 and 2,575.78

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Solution

The fourth proportional to 8,047.78, 12,071.70 and 2,575.78 is: 3,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.78 : 12,071.70 = 2,575.78 : x
  2. Step 2: Convert to fraction form
    8,047.78/12,071.70 = 2,575.78/x
  3. Step 3: Cross multiply
    8,047.78x = 12,071.70 × 2,575.78
  4. Step 4: Simplify right side
    8,047.78x = 31,094,043.43
  5. Step 5: Solve for x
    x = 31,094,043.43/8,047.78
  6. Step 6: Final answer
    x = 3,863.68

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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.