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Finding the Fourth Proportional to 2,113.11, 3,169.53 and 652.25

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Solution

The fourth proportional to 2,113.11, 3,169.53 and 652.25 is: 978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.11 : 3,169.53 = 652.25 : x
  2. Step 2: Convert to fraction form
    2,113.11/3,169.53 = 652.25/x
  3. Step 3: Cross multiply
    2,113.11x = 3,169.53 × 652.25
  4. Step 4: Simplify right side
    2,113.11x = 2,067,333.87
  5. Step 5: Solve for x
    x = 2,067,333.87/2,113.11
  6. Step 6: Final answer
    x = 978.34

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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.