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Finding the Fourth Proportional to 2,591.16, 3,886.70 and 643.38

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Solution

The fourth proportional to 2,591.16, 3,886.70 and 643.38 is: 965.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.16 : 3,886.70 = 643.38 : x
  2. Step 2: Convert to fraction form
    2,591.16/3,886.70 = 643.38/x
  3. Step 3: Cross multiply
    2,591.16x = 3,886.70 × 643.38
  4. Step 4: Simplify right side
    2,591.16x = 2,500,625.05
  5. Step 5: Solve for x
    x = 2,500,625.05/2,591.16
  6. Step 6: Final answer
    x = 965.06

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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.