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Finding the Fourth Proportional to 6,745, 10,119.12 and 2,128

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Solution

The fourth proportional to 6,745, 10,119.12 and 2,128 is: 3,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745 : 10,119.12 = 2,128 : x
  2. Step 2: Convert to fraction form
    6,745/10,119.12 = 2,128/x
  3. Step 3: Cross multiply
    6,745x = 10,119.12 × 2,128
  4. Step 4: Simplify right side
    6,745x = 21,533,487.36
  5. Step 5: Solve for x
    x = 21,533,487.36/6,745
  6. Step 6: Final answer
    x = 3,192.51

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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.