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Finding the Fourth Proportional to 2,730.60, 4,095.90 and 782.82

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Solution

The fourth proportional to 2,730.60, 4,095.90 and 782.82 is: 1,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.60 : 4,095.90 = 782.82 : x
  2. Step 2: Convert to fraction form
    2,730.60/4,095.90 = 782.82/x
  3. Step 3: Cross multiply
    2,730.60x = 4,095.90 × 782.82
  4. Step 4: Simplify right side
    2,730.60x = 3,206,352.44
  5. Step 5: Solve for x
    x = 3,206,352.44/2,730.60
  6. Step 6: Final answer
    x = 1,174.23

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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.