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Finding the Fourth Proportional to 3,098.10, 4,647.83 and 906.65

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Solution

The fourth proportional to 3,098.10, 4,647.83 and 906.65 is: 1,360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.10 : 4,647.83 = 906.65 : x
  2. Step 2: Convert to fraction form
    3,098.10/4,647.83 = 906.65/x
  3. Step 3: Cross multiply
    3,098.10x = 4,647.83 × 906.65
  4. Step 4: Simplify right side
    3,098.10x = 4,213,927.30
  5. Step 5: Solve for x
    x = 4,213,927.30/3,098.10
  6. Step 6: Final answer
    x = 1,360.17

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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.