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Finding the Fourth Proportional to 2,116.80, 3,175.34 and 656.91

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Solution

The fourth proportional to 2,116.80, 3,175.34 and 656.91 is: 985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.80 : 3,175.34 = 656.91 : x
  2. Step 2: Convert to fraction form
    2,116.80/3,175.34 = 656.91/x
  3. Step 3: Cross multiply
    2,116.80x = 3,175.34 × 656.91
  4. Step 4: Simplify right side
    2,116.80x = 2,085,909.31
  5. Step 5: Solve for x
    x = 2,085,909.31/2,116.80
  6. Step 6: Final answer
    x = 985.41

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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.