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Finding the Fourth Proportional to 2,113.86, 3,171.09 and 652.83

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Solution

The fourth proportional to 2,113.86, 3,171.09 and 652.83 is: 979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.86 : 3,171.09 = 652.83 : x
  2. Step 2: Convert to fraction form
    2,113.86/3,171.09 = 652.83/x
  3. Step 3: Cross multiply
    2,113.86x = 3,171.09 × 652.83
  4. Step 4: Simplify right side
    2,113.86x = 2,070,182.68
  5. Step 5: Solve for x
    x = 2,070,182.68/2,113.86
  6. Step 6: Final answer
    x = 979.34

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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.