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Finding the Fourth Proportional to 4,687.50, 6,468.78 and 2,591.70

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Solution

The fourth proportional to 4,687.50, 6,468.78 and 2,591.70 is: 3,576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.50 : 6,468.78 = 2,591.70 : x
  2. Step 2: Convert to fraction form
    4,687.50/6,468.78 = 2,591.70/x
  3. Step 3: Cross multiply
    4,687.50x = 6,468.78 × 2,591.70
  4. Step 4: Simplify right side
    4,687.50x = 16,765,137.13
  5. Step 5: Solve for x
    x = 16,765,137.13/4,687.50
  6. Step 6: Final answer
    x = 3,576.56

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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.