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Finding the Fourth Proportional to 2,707.78, 3,730.93 and 1,822.04

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Solution

The fourth proportional to 2,707.78, 3,730.93 and 1,822.04 is: 2,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.78 : 3,730.93 = 1,822.04 : x
  2. Step 2: Convert to fraction form
    2,707.78/3,730.93 = 1,822.04/x
  3. Step 3: Cross multiply
    2,707.78x = 3,730.93 × 1,822.04
  4. Step 4: Simplify right side
    2,707.78x = 6,797,894.59
  5. Step 5: Solve for x
    x = 6,797,894.59/2,707.78
  6. Step 6: Final answer
    x = 2,510.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.