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Finding the Fourth Proportional to 2,113.06, 3,170.20 and 652.43

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Solution

The fourth proportional to 2,113.06, 3,170.20 and 652.43 is: 978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.06 : 3,170.20 = 652.43 : x
  2. Step 2: Convert to fraction form
    2,113.06/3,170.20 = 652.43/x
  3. Step 3: Cross multiply
    2,113.06x = 3,170.20 × 652.43
  4. Step 4: Simplify right side
    2,113.06x = 2,068,333.59
  5. Step 5: Solve for x
    x = 2,068,333.59/2,113.06
  6. Step 6: Final answer
    x = 978.83

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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.