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Finding the Fourth Proportional to 4,813.72, 7,185.73 and 4,453

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Solution

The fourth proportional to 4,813.72, 7,185.73 and 4,453 is: 6,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.72 : 7,185.73 = 4,453 : x
  2. Step 2: Convert to fraction form
    4,813.72/7,185.73 = 4,453/x
  3. Step 3: Cross multiply
    4,813.72x = 7,185.73 × 4,453
  4. Step 4: Simplify right side
    4,813.72x = 31,998,055.69
  5. Step 5: Solve for x
    x = 31,998,055.69/4,813.72
  6. Step 6: Final answer
    x = 6,647.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.