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Finding the Fourth Proportional to 6,120, 8,445.60 and 3,325.50

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Solution

The fourth proportional to 6,120, 8,445.60 and 3,325.50 is: 4,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120 : 8,445.60 = 3,325.50 : x
  2. Step 2: Convert to fraction form
    6,120/8,445.60 = 3,325.50/x
  3. Step 3: Cross multiply
    6,120x = 8,445.60 × 3,325.50
  4. Step 4: Simplify right side
    6,120x = 28,085,842.80
  5. Step 5: Solve for x
    x = 28,085,842.80/6,120
  6. Step 6: Final answer
    x = 4,589.19

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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.