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Finding the Fourth Proportional to 2,299.56, 3,448.11 and 1,000.32

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Solution

The fourth proportional to 2,299.56, 3,448.11 and 1,000.32 is: 1,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.56 : 3,448.11 = 1,000.32 : x
  2. Step 2: Convert to fraction form
    2,299.56/3,448.11 = 1,000.32/x
  3. Step 3: Cross multiply
    2,299.56x = 3,448.11 × 1,000.32
  4. Step 4: Simplify right side
    2,299.56x = 3,449,213.40
  5. Step 5: Solve for x
    x = 3,449,213.40/2,299.56
  6. Step 6: Final answer
    x = 1,499.94

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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.