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Finding the Fourth Proportional to 3,870.75, 5,806.13 and 1,405.57

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Solution

The fourth proportional to 3,870.75, 5,806.13 and 1,405.57 is: 2,108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.75 : 5,806.13 = 1,405.57 : x
  2. Step 2: Convert to fraction form
    3,870.75/5,806.13 = 1,405.57/x
  3. Step 3: Cross multiply
    3,870.75x = 5,806.13 × 1,405.57
  4. Step 4: Simplify right side
    3,870.75x = 8,160,919.39
  5. Step 5: Solve for x
    x = 8,160,919.39/3,870.75
  6. Step 6: Final answer
    x = 2,108.35

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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.