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Finding the Fourth Proportional to 3,816.78, 5,728.78 and 1,969.20

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Solution

The fourth proportional to 3,816.78, 5,728.78 and 1,969.20 is: 2,955.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.78 : 5,728.78 = 1,969.20 : x
  2. Step 2: Convert to fraction form
    3,816.78/5,728.78 = 1,969.20/x
  3. Step 3: Cross multiply
    3,816.78x = 5,728.78 × 1,969.20
  4. Step 4: Simplify right side
    3,816.78x = 11,281,113.58
  5. Step 5: Solve for x
    x = 11,281,113.58/3,816.78
  6. Step 6: Final answer
    x = 2,955.66

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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.