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Finding the Fourth Proportional to 6,737.78, 10,097.40 and 3,443.99

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Solution

The fourth proportional to 6,737.78, 10,097.40 and 3,443.99 is: 5,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.78 : 10,097.40 = 3,443.99 : x
  2. Step 2: Convert to fraction form
    6,737.78/10,097.40 = 3,443.99/x
  3. Step 3: Cross multiply
    6,737.78x = 10,097.40 × 3,443.99
  4. Step 4: Simplify right side
    6,737.78x = 34,775,307.05
  5. Step 5: Solve for x
    x = 34,775,307.05/6,737.78
  6. Step 6: Final answer
    x = 5,161.24

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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.