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Finding the Fourth Proportional to 5,345, 8,019.66 and 2,571.56

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Solution

The fourth proportional to 5,345, 8,019.66 and 2,571.56 is: 3,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345 : 8,019.66 = 2,571.56 : x
  2. Step 2: Convert to fraction form
    5,345/8,019.66 = 2,571.56/x
  3. Step 3: Cross multiply
    5,345x = 8,019.66 × 2,571.56
  4. Step 4: Simplify right side
    5,345x = 20,623,036.87
  5. Step 5: Solve for x
    x = 20,623,036.87/5,345
  6. Step 6: Final answer
    x = 3,858.38

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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.