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Finding the Fourth Proportional to 2,117.70, 3,176.79 and 730.89

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Solution

The fourth proportional to 2,117.70, 3,176.79 and 730.89 is: 1,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.70 : 3,176.79 = 730.89 : x
  2. Step 2: Convert to fraction form
    2,117.70/3,176.79 = 730.89/x
  3. Step 3: Cross multiply
    2,117.70x = 3,176.79 × 730.89
  4. Step 4: Simplify right side
    2,117.70x = 2,321,884.04
  5. Step 5: Solve for x
    x = 2,321,884.04/2,117.70
  6. Step 6: Final answer
    x = 1,096.42

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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.