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Finding the Fourth Proportional to 7,278, 10,043.64 and 4,134.39

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Solution

The fourth proportional to 7,278, 10,043.64 and 4,134.39 is: 5,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278 : 10,043.64 = 4,134.39 : x
  2. Step 2: Convert to fraction form
    7,278/10,043.64 = 4,134.39/x
  3. Step 3: Cross multiply
    7,278x = 10,043.64 × 4,134.39
  4. Step 4: Simplify right side
    7,278x = 41,524,324.78
  5. Step 5: Solve for x
    x = 41,524,324.78/7,278
  6. Step 6: Final answer
    x = 5,705.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.