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Finding the Fourth Proportional to 2,165.21, 3,244.83 and 992.30

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Solution

The fourth proportional to 2,165.21, 3,244.83 and 992.30 is: 1,487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.21 : 3,244.83 = 992.30 : x
  2. Step 2: Convert to fraction form
    2,165.21/3,244.83 = 992.30/x
  3. Step 3: Cross multiply
    2,165.21x = 3,244.83 × 992.30
  4. Step 4: Simplify right side
    2,165.21x = 3,219,836.70
  5. Step 5: Solve for x
    x = 3,219,836.70/2,165.21
  6. Step 6: Final answer
    x = 1,487.08

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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.