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Finding the Fourth Proportional to 3,108.07, 4,660.71 and 916.03

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Solution

The fourth proportional to 3,108.07, 4,660.71 and 916.03 is: 1,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.07 : 4,660.71 = 916.03 : x
  2. Step 2: Convert to fraction form
    3,108.07/4,660.71 = 916.03/x
  3. Step 3: Cross multiply
    3,108.07x = 4,660.71 × 916.03
  4. Step 4: Simplify right side
    3,108.07x = 4,269,350.18
  5. Step 5: Solve for x
    x = 4,269,350.18/3,108.07
  6. Step 6: Final answer
    x = 1,373.63

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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.