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Finding the Fourth Proportional to 3,388.66, 4,680 and 2,329.22

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Solution

The fourth proportional to 3,388.66, 4,680 and 2,329.22 is: 3,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.66 : 4,680 = 2,329.22 : x
  2. Step 2: Convert to fraction form
    3,388.66/4,680 = 2,329.22/x
  3. Step 3: Cross multiply
    3,388.66x = 4,680 × 2,329.22
  4. Step 4: Simplify right side
    3,388.66x = 10,900,749.60
  5. Step 5: Solve for x
    x = 10,900,749.60/3,388.66
  6. Step 6: Final answer
    x = 3,216.84

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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.