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Finding the Fourth Proportional to 2,686.55, 4,029.84 and 738.86

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Solution

The fourth proportional to 2,686.55, 4,029.84 and 738.86 is: 1,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.55 : 4,029.84 = 738.86 : x
  2. Step 2: Convert to fraction form
    2,686.55/4,029.84 = 738.86/x
  3. Step 3: Cross multiply
    2,686.55x = 4,029.84 × 738.86
  4. Step 4: Simplify right side
    2,686.55x = 2,977,467.43
  5. Step 5: Solve for x
    x = 2,977,467.43/2,686.55
  6. Step 6: Final answer
    x = 1,108.29

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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.