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Finding the Fourth Proportional to 2,116.52, 3,174.92 and 729.99

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Solution

The fourth proportional to 2,116.52, 3,174.92 and 729.99 is: 1,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.52 : 3,174.92 = 729.99 : x
  2. Step 2: Convert to fraction form
    2,116.52/3,174.92 = 729.99/x
  3. Step 3: Cross multiply
    2,116.52x = 3,174.92 × 729.99
  4. Step 4: Simplify right side
    2,116.52x = 2,317,656.20
  5. Step 5: Solve for x
    x = 2,317,656.20/2,116.52
  6. Step 6: Final answer
    x = 1,095.03

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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.