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Finding the Fourth Proportional to 6,940.48, 9,578.20 and 4,109.48

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Solution

The fourth proportional to 6,940.48, 9,578.20 and 4,109.48 is: 5,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.48 : 9,578.20 = 4,109.48 : x
  2. Step 2: Convert to fraction form
    6,940.48/9,578.20 = 4,109.48/x
  3. Step 3: Cross multiply
    6,940.48x = 9,578.20 × 4,109.48
  4. Step 4: Simplify right side
    6,940.48x = 39,361,421.34
  5. Step 5: Solve for x
    x = 39,361,421.34/6,940.48
  6. Step 6: Final answer
    x = 5,671.28

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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.