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Finding the Fourth Proportional to 3,883.04, 5,824.56 and 1,288.88

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Solution

The fourth proportional to 3,883.04, 5,824.56 and 1,288.88 is: 1,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.04 : 5,824.56 = 1,288.88 : x
  2. Step 2: Convert to fraction form
    3,883.04/5,824.56 = 1,288.88/x
  3. Step 3: Cross multiply
    3,883.04x = 5,824.56 × 1,288.88
  4. Step 4: Simplify right side
    3,883.04x = 7,507,158.89
  5. Step 5: Solve for x
    x = 7,507,158.89/3,883.04
  6. Step 6: Final answer
    x = 1,933.32

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Similar ratio
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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.