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Finding the Fourth Proportional to 3,870.60, 5,805.06 and 1,790.70

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Solution

The fourth proportional to 3,870.60, 5,805.06 and 1,790.70 is: 2,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.60 : 5,805.06 = 1,790.70 : x
  2. Step 2: Convert to fraction form
    3,870.60/5,805.06 = 1,790.70/x
  3. Step 3: Cross multiply
    3,870.60x = 5,805.06 × 1,790.70
  4. Step 4: Simplify right side
    3,870.60x = 10,395,120.94
  5. Step 5: Solve for x
    x = 10,395,120.94/3,870.60
  6. Step 6: Final answer
    x = 2,685.66

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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.