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Finding the Fourth Proportional to 3,919.84, 5,851.76 and 3,783.20

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Solution

The fourth proportional to 3,919.84, 5,851.76 and 3,783.20 is: 5,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.84 : 5,851.76 = 3,783.20 : x
  2. Step 2: Convert to fraction form
    3,919.84/5,851.76 = 3,783.20/x
  3. Step 3: Cross multiply
    3,919.84x = 5,851.76 × 3,783.20
  4. Step 4: Simplify right side
    3,919.84x = 22,138,378.43
  5. Step 5: Solve for x
    x = 22,138,378.43/3,919.84
  6. Step 6: Final answer
    x = 5,647.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.