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Finding the Fourth Proportional to 2,707.16, 3,729.93 and 1,821.42

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Solution

The fourth proportional to 2,707.16, 3,729.93 and 1,821.42 is: 2,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.16 : 3,729.93 = 1,821.42 : x
  2. Step 2: Convert to fraction form
    2,707.16/3,729.93 = 1,821.42/x
  3. Step 3: Cross multiply
    2,707.16x = 3,729.93 × 1,821.42
  4. Step 4: Simplify right side
    2,707.16x = 6,793,772.52
  5. Step 5: Solve for x
    x = 6,793,772.52/2,707.16
  6. Step 6: Final answer
    x = 2,509.56

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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.