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Finding the Fourth Proportional to 5,453, 8,179.58 and 1,349

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Solution

The fourth proportional to 5,453, 8,179.58 and 1,349 is: 2,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453 : 8,179.58 = 1,349 : x
  2. Step 2: Convert to fraction form
    5,453/8,179.58 = 1,349/x
  3. Step 3: Cross multiply
    5,453x = 8,179.58 × 1,349
  4. Step 4: Simplify right side
    5,453x = 11,034,253.42
  5. Step 5: Solve for x
    x = 11,034,253.42/5,453
  6. Step 6: Final answer
    x = 2,023.52

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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.