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Finding the Fourth Proportional to 3,913.95, 5,870.68 and 1,448.58

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Solution

The fourth proportional to 3,913.95, 5,870.68 and 1,448.58 is: 2,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.95 : 5,870.68 = 1,448.58 : x
  2. Step 2: Convert to fraction form
    3,913.95/5,870.68 = 1,448.58/x
  3. Step 3: Cross multiply
    3,913.95x = 5,870.68 × 1,448.58
  4. Step 4: Simplify right side
    3,913.95x = 8,504,168.03
  5. Step 5: Solve for x
    x = 8,504,168.03/3,913.95
  6. Step 6: Final answer
    x = 2,172.78

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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.