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Finding the Fourth Proportional to 2,625.50, 3,939.75 and 1,065.21

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Solution

The fourth proportional to 2,625.50, 3,939.75 and 1,065.21 is: 1,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.50 : 3,939.75 = 1,065.21 : x
  2. Step 2: Convert to fraction form
    2,625.50/3,939.75 = 1,065.21/x
  3. Step 3: Cross multiply
    2,625.50x = 3,939.75 × 1,065.21
  4. Step 4: Simplify right side
    2,625.50x = 4,196,661.10
  5. Step 5: Solve for x
    x = 4,196,661.10/2,625.50
  6. Step 6: Final answer
    x = 1,598.43

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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.