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Finding the Fourth Proportional to 3,318.64, 4,978.61 and 1,097.38

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Solution

The fourth proportional to 3,318.64, 4,978.61 and 1,097.38 is: 1,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.64 : 4,978.61 = 1,097.38 : x
  2. Step 2: Convert to fraction form
    3,318.64/4,978.61 = 1,097.38/x
  3. Step 3: Cross multiply
    3,318.64x = 4,978.61 × 1,097.38
  4. Step 4: Simplify right side
    3,318.64x = 5,463,427.04
  5. Step 5: Solve for x
    x = 5,463,427.04/3,318.64
  6. Step 6: Final answer
    x = 1,646.28

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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.