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Finding the Fourth Proportional to 7,717.78, 10,650.54 and 4,181

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Solution

The fourth proportional to 7,717.78, 10,650.54 and 4,181 is: 5,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.78 : 10,650.54 = 4,181 : x
  2. Step 2: Convert to fraction form
    7,717.78/10,650.54 = 4,181/x
  3. Step 3: Cross multiply
    7,717.78x = 10,650.54 × 4,181
  4. Step 4: Simplify right side
    7,717.78x = 44,529,907.74
  5. Step 5: Solve for x
    x = 44,529,907.74/7,717.78
  6. Step 6: Final answer
    x = 5,769.78

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1.5x scale

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.