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Finding the Fourth Proportional to 2,572.89, 3,859.30 and 625.09

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Solution

The fourth proportional to 2,572.89, 3,859.30 and 625.09 is: 937.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.89 : 3,859.30 = 625.09 : x
  2. Step 2: Convert to fraction form
    2,572.89/3,859.30 = 625.09/x
  3. Step 3: Cross multiply
    2,572.89x = 3,859.30 × 625.09
  4. Step 4: Simplify right side
    2,572.89x = 2,412,406.71
  5. Step 5: Solve for x
    x = 2,412,406.71/2,572.89
  6. Step 6: Final answer
    x = 937.63

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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.