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Finding the Fourth Proportional to 3,758.58, 5,640.66 and 1,420.86

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Solution

The fourth proportional to 3,758.58, 5,640.66 and 1,420.86 is: 2,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.58 : 5,640.66 = 1,420.86 : x
  2. Step 2: Convert to fraction form
    3,758.58/5,640.66 = 1,420.86/x
  3. Step 3: Cross multiply
    3,758.58x = 5,640.66 × 1,420.86
  4. Step 4: Simplify right side
    3,758.58x = 8,014,588.17
  5. Step 5: Solve for x
    x = 8,014,588.17/3,758.58
  6. Step 6: Final answer
    x = 2,132.34

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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.