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Finding the Fourth Proportional to 6,893.70, 9,512.40 and 3,908.44

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Solution

The fourth proportional to 6,893.70, 9,512.40 and 3,908.44 is: 5,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.70 : 9,512.40 = 3,908.44 : x
  2. Step 2: Convert to fraction form
    6,893.70/9,512.40 = 3,908.44/x
  3. Step 3: Cross multiply
    6,893.70x = 9,512.40 × 3,908.44
  4. Step 4: Simplify right side
    6,893.70x = 37,178,644.66
  5. Step 5: Solve for x
    x = 37,178,644.66/6,893.70
  6. Step 6: Final answer
    x = 5,393.13

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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.