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Finding the Fourth Proportional to 3,870.97, 5,804.02 and 1,405.74

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Solution

The fourth proportional to 3,870.97, 5,804.02 and 1,405.74 is: 2,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.97 : 5,804.02 = 1,405.74 : x
  2. Step 2: Convert to fraction form
    3,870.97/5,804.02 = 1,405.74/x
  3. Step 3: Cross multiply
    3,870.97x = 5,804.02 × 1,405.74
  4. Step 4: Simplify right side
    3,870.97x = 8,158,943.07
  5. Step 5: Solve for x
    x = 8,158,943.07/3,870.97
  6. Step 6: Final answer
    x = 2,107.73

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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.