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Finding the Fourth Proportional to 2,534.64, 3,799.64 and 890.28

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Solution

The fourth proportional to 2,534.64, 3,799.64 and 890.28 is: 1,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.64 : 3,799.64 = 890.28 : x
  2. Step 2: Convert to fraction form
    2,534.64/3,799.64 = 890.28/x
  3. Step 3: Cross multiply
    2,534.64x = 3,799.64 × 890.28
  4. Step 4: Simplify right side
    2,534.64x = 3,382,739.05
  5. Step 5: Solve for x
    x = 3,382,739.05/2,534.64
  6. Step 6: Final answer
    x = 1,334.60

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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.