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Finding the Fourth Proportional to 3,203, 4,410.78 and 3,068.12

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Solution

The fourth proportional to 3,203, 4,410.78 and 3,068.12 is: 4,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203 : 4,410.78 = 3,068.12 : x
  2. Step 2: Convert to fraction form
    3,203/4,410.78 = 3,068.12/x
  3. Step 3: Cross multiply
    3,203x = 4,410.78 × 3,068.12
  4. Step 4: Simplify right side
    3,203x = 13,532,802.33
  5. Step 5: Solve for x
    x = 13,532,802.33/3,203
  6. Step 6: Final answer
    x = 4,225.04

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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.