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Finding the Fourth Proportional to 2,887.79, 3,985.81 and 2,414.86

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Solution

The fourth proportional to 2,887.79, 3,985.81 and 2,414.86 is: 3,333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.79 : 3,985.81 = 2,414.86 : x
  2. Step 2: Convert to fraction form
    2,887.79/3,985.81 = 2,414.86/x
  3. Step 3: Cross multiply
    2,887.79x = 3,985.81 × 2,414.86
  4. Step 4: Simplify right side
    2,887.79x = 9,625,157.13
  5. Step 5: Solve for x
    x = 9,625,157.13/2,887.79
  6. Step 6: Final answer
    x = 3,333.06

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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.