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Finding the Fourth Proportional to 2,467.87, 3,701.70 and 618.84

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Solution

The fourth proportional to 2,467.87, 3,701.70 and 618.84 is: 928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.87 : 3,701.70 = 618.84 : x
  2. Step 2: Convert to fraction form
    2,467.87/3,701.70 = 618.84/x
  3. Step 3: Cross multiply
    2,467.87x = 3,701.70 × 618.84
  4. Step 4: Simplify right side
    2,467.87x = 2,290,760.03
  5. Step 5: Solve for x
    x = 2,290,760.03/2,467.87
  6. Step 6: Final answer
    x = 928.23

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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.