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Finding the Fourth Proportional to 2,621.64, 3,932.46 and 890.27

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Solution

The fourth proportional to 2,621.64, 3,932.46 and 890.27 is: 1,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.64 : 3,932.46 = 890.27 : x
  2. Step 2: Convert to fraction form
    2,621.64/3,932.46 = 890.27/x
  3. Step 3: Cross multiply
    2,621.64x = 3,932.46 × 890.27
  4. Step 4: Simplify right side
    2,621.64x = 3,500,931.50
  5. Step 5: Solve for x
    x = 3,500,931.50/2,621.64
  6. Step 6: Final answer
    x = 1,335.40

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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.