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Finding the Fourth Proportional to 6,645, 9,170.52 and 3,660.84

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Solution

The fourth proportional to 6,645, 9,170.52 and 3,660.84 is: 5,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645 : 9,170.52 = 3,660.84 : x
  2. Step 2: Convert to fraction form
    6,645/9,170.52 = 3,660.84/x
  3. Step 3: Cross multiply
    6,645x = 9,170.52 × 3,660.84
  4. Step 4: Simplify right side
    6,645x = 33,571,806.44
  5. Step 5: Solve for x
    x = 33,571,806.44/6,645
  6. Step 6: Final answer
    x = 5,052.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.