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Finding the Fourth Proportional to 3,097.64, 4,647.27 and 906.34

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Solution

The fourth proportional to 3,097.64, 4,647.27 and 906.34 is: 1,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.64 : 4,647.27 = 906.34 : x
  2. Step 2: Convert to fraction form
    3,097.64/4,647.27 = 906.34/x
  3. Step 3: Cross multiply
    3,097.64x = 4,647.27 × 906.34
  4. Step 4: Simplify right side
    3,097.64x = 4,212,007.19
  5. Step 5: Solve for x
    x = 4,212,007.19/3,097.64
  6. Step 6: Final answer
    x = 1,359.75

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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.