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Finding the Fourth Proportional to 6,798.40, 10,219.20 and 6,409.60

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Solution

The fourth proportional to 6,798.40, 10,219.20 and 6,409.60 is: 9,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.40 : 10,219.20 = 6,409.60 : x
  2. Step 2: Convert to fraction form
    6,798.40/10,219.20 = 6,409.60/x
  3. Step 3: Cross multiply
    6,798.40x = 10,219.20 × 6,409.60
  4. Step 4: Simplify right side
    6,798.40x = 65,500,984.32
  5. Step 5: Solve for x
    x = 65,500,984.32/6,798.40
  6. Step 6: Final answer
    x = 9,634.76

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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.