Home / 2,116.83-3,175.45-729.98

Finding the Fourth Proportional to 2,116.83, 3,175.45 and 729.98

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Solution

The fourth proportional to 2,116.83, 3,175.45 and 729.98 is: 1,095.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.83 : 3,175.45 = 729.98 : x
  2. Step 2: Convert to fraction form
    2,116.83/3,175.45 = 729.98/x
  3. Step 3: Cross multiply
    2,116.83x = 3,175.45 × 729.98
  4. Step 4: Simplify right side
    2,116.83x = 2,318,014.99
  5. Step 5: Solve for x
    x = 2,318,014.99/2,116.83
  6. Step 6: Final answer
    x = 1,095.04

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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.