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Finding the Fourth Proportional to 2,608.76, 3,914.08 and 1,147.80

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Solution

The fourth proportional to 2,608.76, 3,914.08 and 1,147.80 is: 1,722.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.76 : 3,914.08 = 1,147.80 : x
  2. Step 2: Convert to fraction form
    2,608.76/3,914.08 = 1,147.80/x
  3. Step 3: Cross multiply
    2,608.76x = 3,914.08 × 1,147.80
  4. Step 4: Simplify right side
    2,608.76x = 4,492,581.02
  5. Step 5: Solve for x
    x = 4,492,581.02/2,608.76
  6. Step 6: Final answer
    x = 1,722.11

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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.