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Finding the Fourth Proportional to 1,847.53, 2,549.88 and 1,786.78

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Solution

The fourth proportional to 1,847.53, 2,549.88 and 1,786.78 is: 2,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.53 : 2,549.88 = 1,786.78 : x
  2. Step 2: Convert to fraction form
    1,847.53/2,549.88 = 1,786.78/x
  3. Step 3: Cross multiply
    1,847.53x = 2,549.88 × 1,786.78
  4. Step 4: Simplify right side
    1,847.53x = 4,556,074.59
  5. Step 5: Solve for x
    x = 4,556,074.59/1,847.53
  6. Step 6: Final answer
    x = 2,466.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.