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Finding the Fourth Proportional to 2,039.37, 3,059.28 and 652.22

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Solution

The fourth proportional to 2,039.37, 3,059.28 and 652.22 is: 978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.37 : 3,059.28 = 652.22 : x
  2. Step 2: Convert to fraction form
    2,039.37/3,059.28 = 652.22/x
  3. Step 3: Cross multiply
    2,039.37x = 3,059.28 × 652.22
  4. Step 4: Simplify right side
    2,039.37x = 1,995,305.04
  5. Step 5: Solve for x
    x = 1,995,305.04/2,039.37
  6. Step 6: Final answer
    x = 978.39

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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.