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Finding the Fourth Proportional to 2,995.30, 4,489 and 2,299.32

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Solution

The fourth proportional to 2,995.30, 4,489 and 2,299.32 is: 3,445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.30 : 4,489 = 2,299.32 : x
  2. Step 2: Convert to fraction form
    2,995.30/4,489 = 2,299.32/x
  3. Step 3: Cross multiply
    2,995.30x = 4,489 × 2,299.32
  4. Step 4: Simplify right side
    2,995.30x = 10,321,647.48
  5. Step 5: Solve for x
    x = 10,321,647.48/2,995.30
  6. Step 6: Final answer
    x = 3,445.95

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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.