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Finding the Fourth Proportional to 7,003.66, 10,505.21 and 1,738.68

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Solution

The fourth proportional to 7,003.66, 10,505.21 and 1,738.68 is: 2,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.66 : 10,505.21 = 1,738.68 : x
  2. Step 2: Convert to fraction form
    7,003.66/10,505.21 = 1,738.68/x
  3. Step 3: Cross multiply
    7,003.66x = 10,505.21 × 1,738.68
  4. Step 4: Simplify right side
    7,003.66x = 18,265,198.52
  5. Step 5: Solve for x
    x = 18,265,198.52/7,003.66
  6. Step 6: Final answer
    x = 2,607.95

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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.