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Finding the Fourth Proportional to 2,113.08, 3,169.44 and 652.32

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Solution

The fourth proportional to 2,113.08, 3,169.44 and 652.32 is: 978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.08 : 3,169.44 = 652.32 : x
  2. Step 2: Convert to fraction form
    2,113.08/3,169.44 = 652.32/x
  3. Step 3: Cross multiply
    2,113.08x = 3,169.44 × 652.32
  4. Step 4: Simplify right side
    2,113.08x = 2,067,489.10
  5. Step 5: Solve for x
    x = 2,067,489.10/2,113.08
  6. Step 6: Final answer
    x = 978.42

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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.