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Finding the Fourth Proportional to 6,911.07, 9,460.97 and 6,861.66

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Solution

The fourth proportional to 6,911.07, 9,460.97 and 6,861.66 is: 9,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.07 : 9,460.97 = 6,861.66 : x
  2. Step 2: Convert to fraction form
    6,911.07/9,460.97 = 6,861.66/x
  3. Step 3: Cross multiply
    6,911.07x = 9,460.97 × 6,861.66
  4. Step 4: Simplify right side
    6,911.07x = 64,917,959.41
  5. Step 5: Solve for x
    x = 64,917,959.41/6,911.07
  6. Step 6: Final answer
    x = 9,393.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.