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Finding the Fourth Proportional to 2,116.96, 3,175.34 and 655.92

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Solution

The fourth proportional to 2,116.96, 3,175.34 and 655.92 is: 983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.96 : 3,175.34 = 655.92 : x
  2. Step 2: Convert to fraction form
    2,116.96/3,175.34 = 655.92/x
  3. Step 3: Cross multiply
    2,116.96x = 3,175.34 × 655.92
  4. Step 4: Simplify right side
    2,116.96x = 2,082,769.01
  5. Step 5: Solve for x
    x = 2,082,769.01/2,116.96
  6. Step 6: Final answer
    x = 983.85

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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.