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Finding the Fourth Proportional to 11,662.46, 17,490.48 and 6,978.78

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Solution

The fourth proportional to 11,662.46, 17,490.48 and 6,978.78 is: 10,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.46 : 17,490.48 = 6,978.78 : x
  2. Step 2: Convert to fraction form
    11,662.46/17,490.48 = 6,978.78/x
  3. Step 3: Cross multiply
    11,662.46x = 17,490.48 × 6,978.78
  4. Step 4: Simplify right side
    11,662.46x = 122,062,212.01
  5. Step 5: Solve for x
    x = 122,062,212.01/11,662.46
  6. Step 6: Final answer
    x = 10,466.25

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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.