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Finding the Fourth Proportional to 2,573.09, 3,859.63 and 625.31

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Solution

The fourth proportional to 2,573.09, 3,859.63 and 625.31 is: 937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.09 : 3,859.63 = 625.31 : x
  2. Step 2: Convert to fraction form
    2,573.09/3,859.63 = 625.31/x
  3. Step 3: Cross multiply
    2,573.09x = 3,859.63 × 625.31
  4. Step 4: Simplify right side
    2,573.09x = 2,413,473.32
  5. Step 5: Solve for x
    x = 2,413,473.32/2,573.09
  6. Step 6: Final answer
    x = 937.97

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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.