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Finding the Fourth Proportional to 7,738.69, 10,679.10 and 4,201.82

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Solution

The fourth proportional to 7,738.69, 10,679.10 and 4,201.82 is: 5,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.69 : 10,679.10 = 4,201.82 : x
  2. Step 2: Convert to fraction form
    7,738.69/10,679.10 = 4,201.82/x
  3. Step 3: Cross multiply
    7,738.69x = 10,679.10 × 4,201.82
  4. Step 4: Simplify right side
    7,738.69x = 44,871,634.95
  5. Step 5: Solve for x
    x = 44,871,634.95/7,738.69
  6. Step 6: Final answer
    x = 5,798.35

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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.