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Finding the Fourth Proportional to 6,478.26, 9,720.46 and 3,357.68

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Solution

The fourth proportional to 6,478.26, 9,720.46 and 3,357.68 is: 5,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.26 : 9,720.46 = 3,357.68 : x
  2. Step 2: Convert to fraction form
    6,478.26/9,720.46 = 3,357.68/x
  3. Step 3: Cross multiply
    6,478.26x = 9,720.46 × 3,357.68
  4. Step 4: Simplify right side
    6,478.26x = 32,638,194.13
  5. Step 5: Solve for x
    x = 32,638,194.13/6,478.26
  6. Step 6: Final answer
    x = 5,038.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.