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Finding the Fourth Proportional to 6,930.40, 10,395.60 and 6,181.60

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Solution

The fourth proportional to 6,930.40, 10,395.60 and 6,181.60 is: 9,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.40 : 10,395.60 = 6,181.60 : x
  2. Step 2: Convert to fraction form
    6,930.40/10,395.60 = 6,181.60/x
  3. Step 3: Cross multiply
    6,930.40x = 10,395.60 × 6,181.60
  4. Step 4: Simplify right side
    6,930.40x = 64,261,440.96
  5. Step 5: Solve for x
    x = 64,261,440.96/6,930.40
  6. Step 6: Final answer
    x = 9,272.40

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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.