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Finding the Fourth Proportional to 2,730.97, 4,096.46 and 782.72

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Solution

The fourth proportional to 2,730.97, 4,096.46 and 782.72 is: 1,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.97 : 4,096.46 = 782.72 : x
  2. Step 2: Convert to fraction form
    2,730.97/4,096.46 = 782.72/x
  3. Step 3: Cross multiply
    2,730.97x = 4,096.46 × 782.72
  4. Step 4: Simplify right side
    2,730.97x = 3,206,381.17
  5. Step 5: Solve for x
    x = 3,206,381.17/2,730.97
  6. Step 6: Final answer
    x = 1,174.08

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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.