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Finding the Fourth Proportional to 2,684.66, 4,029.48 and 1,902.42

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Solution

The fourth proportional to 2,684.66, 4,029.48 and 1,902.42 is: 2,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.66 : 4,029.48 = 1,902.42 : x
  2. Step 2: Convert to fraction form
    2,684.66/4,029.48 = 1,902.42/x
  3. Step 3: Cross multiply
    2,684.66x = 4,029.48 × 1,902.42
  4. Step 4: Simplify right side
    2,684.66x = 7,665,763.34
  5. Step 5: Solve for x
    x = 7,665,763.34/2,684.66
  6. Step 6: Final answer
    x = 2,855.40

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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.