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Finding the Fourth Proportional to 2,112.85, 3,169.79 and 652.03

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Solution

The fourth proportional to 2,112.85, 3,169.79 and 652.03 is: 978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.85 : 3,169.79 = 652.03 : x
  2. Step 2: Convert to fraction form
    2,112.85/3,169.79 = 652.03/x
  3. Step 3: Cross multiply
    2,112.85x = 3,169.79 × 652.03
  4. Step 4: Simplify right side
    2,112.85x = 2,066,798.17
  5. Step 5: Solve for x
    x = 2,066,798.17/2,112.85
  6. Step 6: Final answer
    x = 978.20

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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.