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Finding the Fourth Proportional to 6,336.40, 9,504.60 and 3,420.40

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Solution

The fourth proportional to 6,336.40, 9,504.60 and 3,420.40 is: 5,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.40 : 9,504.60 = 3,420.40 : x
  2. Step 2: Convert to fraction form
    6,336.40/9,504.60 = 3,420.40/x
  3. Step 3: Cross multiply
    6,336.40x = 9,504.60 × 3,420.40
  4. Step 4: Simplify right side
    6,336.40x = 32,509,533.84
  5. Step 5: Solve for x
    x = 32,509,533.84/6,336.40
  6. Step 6: Final answer
    x = 5,130.60

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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.