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Finding the Fourth Proportional to 2,344.83, 3,509 and 1,852.75

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Solution

The fourth proportional to 2,344.83, 3,509 and 1,852.75 is: 2,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.83 : 3,509 = 1,852.75 : x
  2. Step 2: Convert to fraction form
    2,344.83/3,509 = 1,852.75/x
  3. Step 3: Cross multiply
    2,344.83x = 3,509 × 1,852.75
  4. Step 4: Simplify right side
    2,344.83x = 6,501,299.75
  5. Step 5: Solve for x
    x = 6,501,299.75/2,344.83
  6. Step 6: Final answer
    x = 2,772.61

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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.