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Finding the Fourth Proportional to 3,870.36, 5,801.22 and 1,675.80

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Solution

The fourth proportional to 3,870.36, 5,801.22 and 1,675.80 is: 2,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.36 : 5,801.22 = 1,675.80 : x
  2. Step 2: Convert to fraction form
    3,870.36/5,801.22 = 1,675.80/x
  3. Step 3: Cross multiply
    3,870.36x = 5,801.22 × 1,675.80
  4. Step 4: Simplify right side
    3,870.36x = 9,721,684.48
  5. Step 5: Solve for x
    x = 9,721,684.48/3,870.36
  6. Step 6: Final answer
    x = 2,511.83

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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.