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Finding the Fourth Proportional to 3,855.80, 5,780.16 and 1,390.02

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Solution

The fourth proportional to 3,855.80, 5,780.16 and 1,390.02 is: 2,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.80 : 5,780.16 = 1,390.02 : x
  2. Step 2: Convert to fraction form
    3,855.80/5,780.16 = 1,390.02/x
  3. Step 3: Cross multiply
    3,855.80x = 5,780.16 × 1,390.02
  4. Step 4: Simplify right side
    3,855.80x = 8,034,531.05
  5. Step 5: Solve for x
    x = 8,034,531.05/3,855.80
  6. Step 6: Final answer
    x = 2,083.75

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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.