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Finding the Fourth Proportional to 6,321.20, 9,460.20 and 5,543.60

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Solution

The fourth proportional to 6,321.20, 9,460.20 and 5,543.60 is: 8,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.20 : 9,460.20 = 5,543.60 : x
  2. Step 2: Convert to fraction form
    6,321.20/9,460.20 = 5,543.60/x
  3. Step 3: Cross multiply
    6,321.20x = 9,460.20 × 5,543.60
  4. Step 4: Simplify right side
    6,321.20x = 52,443,564.72
  5. Step 5: Solve for x
    x = 52,443,564.72/6,321.20
  6. Step 6: Final answer
    x = 8,296.46

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1.5x scale

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.