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Finding the Fourth Proportional to 2,353.63, 3,530.44 and 814.63

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Solution

The fourth proportional to 2,353.63, 3,530.44 and 814.63 is: 1,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.63 : 3,530.44 = 814.63 : x
  2. Step 2: Convert to fraction form
    2,353.63/3,530.44 = 814.63/x
  3. Step 3: Cross multiply
    2,353.63x = 3,530.44 × 814.63
  4. Step 4: Simplify right side
    2,353.63x = 2,875,984.69
  5. Step 5: Solve for x
    x = 2,875,984.69/2,353.63
  6. Step 6: Final answer
    x = 1,221.94

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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.