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Finding the Fourth Proportional to 2,116.62, 3,175.37 and 655.85

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Solution

The fourth proportional to 2,116.62, 3,175.37 and 655.85 is: 983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.62 : 3,175.37 = 655.85 : x
  2. Step 2: Convert to fraction form
    2,116.62/3,175.37 = 655.85/x
  3. Step 3: Cross multiply
    2,116.62x = 3,175.37 × 655.85
  4. Step 4: Simplify right side
    2,116.62x = 2,082,547.26
  5. Step 5: Solve for x
    x = 2,082,547.26/2,116.62
  6. Step 6: Final answer
    x = 983.90

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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.