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Finding the Fourth Proportional to 6,742.97, 10,102.13 and 4,889.49

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Solution

The fourth proportional to 6,742.97, 10,102.13 and 4,889.49 is: 7,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.97 : 10,102.13 = 4,889.49 : x
  2. Step 2: Convert to fraction form
    6,742.97/10,102.13 = 4,889.49/x
  3. Step 3: Cross multiply
    6,742.97x = 10,102.13 × 4,889.49
  4. Step 4: Simplify right side
    6,742.97x = 49,394,263.61
  5. Step 5: Solve for x
    x = 49,394,263.61/6,742.97
  6. Step 6: Final answer
    x = 7,325.30

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1.5x scale

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.