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Finding the Fourth Proportional to 3,098.55, 4,647.83 and 907.91

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Solution

The fourth proportional to 3,098.55, 4,647.83 and 907.91 is: 1,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.55 : 4,647.83 = 907.91 : x
  2. Step 2: Convert to fraction form
    3,098.55/4,647.83 = 907.91/x
  3. Step 3: Cross multiply
    3,098.55x = 4,647.83 × 907.91
  4. Step 4: Simplify right side
    3,098.55x = 4,219,806.09
  5. Step 5: Solve for x
    x = 4,219,806.09/3,098.55
  6. Step 6: Final answer
    x = 1,361.86

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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.