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Finding the Fourth Proportional to 2,390, 3,299.64 and 1,563.44

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Solution

The fourth proportional to 2,390, 3,299.64 and 1,563.44 is: 2,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390 : 3,299.64 = 1,563.44 : x
  2. Step 2: Convert to fraction form
    2,390/3,299.64 = 1,563.44/x
  3. Step 3: Cross multiply
    2,390x = 3,299.64 × 1,563.44
  4. Step 4: Simplify right side
    2,390x = 5,158,789.16
  5. Step 5: Solve for x
    x = 5,158,789.16/2,390
  6. Step 6: Final answer
    x = 2,158.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.