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Finding the Fourth Proportional to 7,278, 10,914.84 and 4,936.56

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Solution

The fourth proportional to 7,278, 10,914.84 and 4,936.56 is: 7,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278 : 10,914.84 = 4,936.56 : x
  2. Step 2: Convert to fraction form
    7,278/10,914.84 = 4,936.56/x
  3. Step 3: Cross multiply
    7,278x = 10,914.84 × 4,936.56
  4. Step 4: Simplify right side
    7,278x = 53,881,762.55
  5. Step 5: Solve for x
    x = 53,881,762.55/7,278
  6. Step 6: Final answer
    x = 7,403.37

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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.