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Finding the Fourth Proportional to 2,415.71, 3,333.68 and 1,367.87

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Solution

The fourth proportional to 2,415.71, 3,333.68 and 1,367.87 is: 1,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.71 : 3,333.68 = 1,367.87 : x
  2. Step 2: Convert to fraction form
    2,415.71/3,333.68 = 1,367.87/x
  3. Step 3: Cross multiply
    2,415.71x = 3,333.68 × 1,367.87
  4. Step 4: Simplify right side
    2,415.71x = 4,560,034.02
  5. Step 5: Solve for x
    x = 4,560,034.02/2,415.71
  6. Step 6: Final answer
    x = 1,887.66

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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.