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Finding the Fourth Proportional to 2,113.36, 3,169.86 and 652.52

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Solution

The fourth proportional to 2,113.36, 3,169.86 and 652.52 is: 978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.36 : 3,169.86 = 652.52 : x
  2. Step 2: Convert to fraction form
    2,113.36/3,169.86 = 652.52/x
  3. Step 3: Cross multiply
    2,113.36x = 3,169.86 × 652.52
  4. Step 4: Simplify right side
    2,113.36x = 2,068,393.78
  5. Step 5: Solve for x
    x = 2,068,393.78/2,113.36
  6. Step 6: Final answer
    x = 978.73

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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.