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Finding the Fourth Proportional to 3,913.62, 5,870.70 and 1,448.39

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Solution

The fourth proportional to 3,913.62, 5,870.70 and 1,448.39 is: 2,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.62 : 5,870.70 = 1,448.39 : x
  2. Step 2: Convert to fraction form
    3,913.62/5,870.70 = 1,448.39/x
  3. Step 3: Cross multiply
    3,913.62x = 5,870.70 × 1,448.39
  4. Step 4: Simplify right side
    3,913.62x = 8,503,033.82
  5. Step 5: Solve for x
    x = 8,503,033.82/3,913.62
  6. Step 6: Final answer
    x = 2,172.68

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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.