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Finding the Fourth Proportional to 2,321.87, 3,498.71 and 1,919.99

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Solution

The fourth proportional to 2,321.87, 3,498.71 and 1,919.99 is: 2,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.87 : 3,498.71 = 1,919.99 : x
  2. Step 2: Convert to fraction form
    2,321.87/3,498.71 = 1,919.99/x
  3. Step 3: Cross multiply
    2,321.87x = 3,498.71 × 1,919.99
  4. Step 4: Simplify right side
    2,321.87x = 6,717,487.36
  5. Step 5: Solve for x
    x = 6,717,487.36/2,321.87
  6. Step 6: Final answer
    x = 2,893.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.