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Finding the Fourth Proportional to 2,591.70, 3,887.55 and 643.91

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Solution

The fourth proportional to 2,591.70, 3,887.55 and 643.91 is: 965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.70 : 3,887.55 = 643.91 : x
  2. Step 2: Convert to fraction form
    2,591.70/3,887.55 = 643.91/x
  3. Step 3: Cross multiply
    2,591.70x = 3,887.55 × 643.91
  4. Step 4: Simplify right side
    2,591.70x = 2,503,210.47
  5. Step 5: Solve for x
    x = 2,503,210.47/2,591.70
  6. Step 6: Final answer
    x = 965.86

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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.