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Finding the Fourth Proportional to 6,980.78, 9,634.07 and 3,837.58

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Solution

The fourth proportional to 6,980.78, 9,634.07 and 3,837.58 is: 5,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.78 : 9,634.07 = 3,837.58 : x
  2. Step 2: Convert to fraction form
    6,980.78/9,634.07 = 3,837.58/x
  3. Step 3: Cross multiply
    6,980.78x = 9,634.07 × 3,837.58
  4. Step 4: Simplify right side
    6,980.78x = 36,971,499.86
  5. Step 5: Solve for x
    x = 36,971,499.86/6,980.78
  6. Step 6: Final answer
    x = 5,296.18

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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.