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Finding the Fourth Proportional to 11,478.88, 17,203.74 and 6,278.68

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Solution

The fourth proportional to 11,478.88, 17,203.74 and 6,278.68 is: 9,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.88 : 17,203.74 = 6,278.68 : x
  2. Step 2: Convert to fraction form
    11,478.88/17,203.74 = 6,278.68/x
  3. Step 3: Cross multiply
    11,478.88x = 17,203.74 × 6,278.68
  4. Step 4: Simplify right side
    11,478.88x = 108,016,778.26
  5. Step 5: Solve for x
    x = 108,016,778.26/11,478.88
  6. Step 6: Final answer
    x = 9,410.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.