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Finding the Fourth Proportional to 3,097, 4,643.34 and 1,453.24

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Solution

The fourth proportional to 3,097, 4,643.34 and 1,453.24 is: 2,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097 : 4,643.34 = 1,453.24 : x
  2. Step 2: Convert to fraction form
    3,097/4,643.34 = 1,453.24/x
  3. Step 3: Cross multiply
    3,097x = 4,643.34 × 1,453.24
  4. Step 4: Simplify right side
    3,097x = 6,747,887.42
  5. Step 5: Solve for x
    x = 6,747,887.42/3,097
  6. Step 6: Final answer
    x = 2,178.85

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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.