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Finding the Fourth Proportional to 2,116.90, 3,175.44 and 656.07

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Solution

The fourth proportional to 2,116.90, 3,175.44 and 656.07 is: 984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.90 : 3,175.44 = 656.07 : x
  2. Step 2: Convert to fraction form
    2,116.90/3,175.44 = 656.07/x
  3. Step 3: Cross multiply
    2,116.90x = 3,175.44 × 656.07
  4. Step 4: Simplify right side
    2,116.90x = 2,083,310.92
  5. Step 5: Solve for x
    x = 2,083,310.92/2,116.90
  6. Step 6: Final answer
    x = 984.13

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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.