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Finding the Fourth Proportional to 2,116.40, 3,174.40 and 729.60

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Solution

The fourth proportional to 2,116.40, 3,174.40 and 729.60 is: 1,094.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.40 : 3,174.40 = 729.60 : x
  2. Step 2: Convert to fraction form
    2,116.40/3,174.40 = 729.60/x
  3. Step 3: Cross multiply
    2,116.40x = 3,174.40 × 729.60
  4. Step 4: Simplify right side
    2,116.40x = 2,316,042.24
  5. Step 5: Solve for x
    x = 2,316,042.24/2,116.40
  6. Step 6: Final answer
    x = 1,094.33

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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.