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Finding the Fourth Proportional to 3,880.74, 5,821.08 and 1,144.74

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Solution

The fourth proportional to 3,880.74, 5,821.08 and 1,144.74 is: 1,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.74 : 5,821.08 = 1,144.74 : x
  2. Step 2: Convert to fraction form
    3,880.74/5,821.08 = 1,144.74/x
  3. Step 3: Cross multiply
    3,880.74x = 5,821.08 × 1,144.74
  4. Step 4: Simplify right side
    3,880.74x = 6,663,623.12
  5. Step 5: Solve for x
    x = 6,663,623.12/3,880.74
  6. Step 6: Final answer
    x = 1,717.10

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1.5x scale

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.