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Finding the Fourth Proportional to 6,645, 9,169.56 and 3,813.24

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Solution

The fourth proportional to 6,645, 9,169.56 and 3,813.24 is: 5,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645 : 9,169.56 = 3,813.24 : x
  2. Step 2: Convert to fraction form
    6,645/9,169.56 = 3,813.24/x
  3. Step 3: Cross multiply
    6,645x = 9,169.56 × 3,813.24
  4. Step 4: Simplify right side
    6,645x = 34,965,732.97
  5. Step 5: Solve for x
    x = 34,965,732.97/6,645
  6. Step 6: Final answer
    x = 5,261.96

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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.