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Finding the Fourth Proportional to 6,894.78, 9,515.78 and 3,911.36

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Solution

The fourth proportional to 6,894.78, 9,515.78 and 3,911.36 is: 5,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.78 : 9,515.78 = 3,911.36 : x
  2. Step 2: Convert to fraction form
    6,894.78/9,515.78 = 3,911.36/x
  3. Step 3: Cross multiply
    6,894.78x = 9,515.78 × 3,911.36
  4. Step 4: Simplify right side
    6,894.78x = 37,219,641.26
  5. Step 5: Solve for x
    x = 37,219,641.26/6,894.78
  6. Step 6: Final answer
    x = 5,398.23

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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.