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Finding the Fourth Proportional to 6,120, 8,445.78 and 3,325.68

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Solution

The fourth proportional to 6,120, 8,445.78 and 3,325.68 is: 4,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120 : 8,445.78 = 3,325.68 : x
  2. Step 2: Convert to fraction form
    6,120/8,445.78 = 3,325.68/x
  3. Step 3: Cross multiply
    6,120x = 8,445.78 × 3,325.68
  4. Step 4: Simplify right side
    6,120x = 28,087,961.63
  5. Step 5: Solve for x
    x = 28,087,961.63/6,120
  6. Step 6: Final answer
    x = 4,589.54

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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.