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Finding the Fourth Proportional to 6,528.40, 9,785.40 and 3,608.80

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Solution

The fourth proportional to 6,528.40, 9,785.40 and 3,608.80 is: 5,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.40 : 9,785.40 = 3,608.80 : x
  2. Step 2: Convert to fraction form
    6,528.40/9,785.40 = 3,608.80/x
  3. Step 3: Cross multiply
    6,528.40x = 9,785.40 × 3,608.80
  4. Step 4: Simplify right side
    6,528.40x = 35,313,551.52
  5. Step 5: Solve for x
    x = 35,313,551.52/6,528.40
  6. Step 6: Final answer
    x = 5,409.22

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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.