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Finding the Fourth Proportional to 51,861, 71,576.82 and 39,263.88

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Solution

The fourth proportional to 51,861, 71,576.82 and 39,263.88 is: 54,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,861 : 71,576.82 = 39,263.88 : x
  2. Step 2: Convert to fraction form
    51,861/71,576.82 = 39,263.88/x
  3. Step 3: Cross multiply
    51,861x = 71,576.82 × 39,263.88
  4. Step 4: Simplify right side
    51,861x = 2,810,383,671.26
  5. Step 5: Solve for x
    x = 2,810,383,671.26/51,861
  6. Step 6: Final answer
    x = 54,190.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.