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Finding the Fourth Proportional to 3,230, 4,458.21 and 1,903.22

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Solution

The fourth proportional to 3,230, 4,458.21 and 1,903.22 is: 2,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230 : 4,458.21 = 1,903.22 : x
  2. Step 2: Convert to fraction form
    3,230/4,458.21 = 1,903.22/x
  3. Step 3: Cross multiply
    3,230x = 4,458.21 × 1,903.22
  4. Step 4: Simplify right side
    3,230x = 8,484,954.44
  5. Step 5: Solve for x
    x = 8,484,954.44/3,230
  6. Step 6: Final answer
    x = 2,626.92

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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.