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Finding the Fourth Proportional to 3,107.80, 4,660.09 and 916.24

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Solution

The fourth proportional to 3,107.80, 4,660.09 and 916.24 is: 1,373.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.80 : 4,660.09 = 916.24 : x
  2. Step 2: Convert to fraction form
    3,107.80/4,660.09 = 916.24/x
  3. Step 3: Cross multiply
    3,107.80x = 4,660.09 × 916.24
  4. Step 4: Simplify right side
    3,107.80x = 4,269,746.92
  5. Step 5: Solve for x
    x = 4,269,746.92/3,107.80
  6. Step 6: Final answer
    x = 1,373.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.