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Finding the Fourth Proportional to 2,342.87, 3,513.87 and 699.02

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Solution

The fourth proportional to 2,342.87, 3,513.87 and 699.02 is: 1,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.87 : 3,513.87 = 699.02 : x
  2. Step 2: Convert to fraction form
    2,342.87/3,513.87 = 699.02/x
  3. Step 3: Cross multiply
    2,342.87x = 3,513.87 × 699.02
  4. Step 4: Simplify right side
    2,342.87x = 2,456,247.84
  5. Step 5: Solve for x
    x = 2,456,247.84/2,342.87
  6. Step 6: Final answer
    x = 1,048.39

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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.