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Finding the Fourth Proportional to 10,978, 16,467.20 and 3,187.60

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Solution

The fourth proportional to 10,978, 16,467.20 and 3,187.60 is: 4,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978 : 16,467.20 = 3,187.60 : x
  2. Step 2: Convert to fraction form
    10,978/16,467.20 = 3,187.60/x
  3. Step 3: Cross multiply
    10,978x = 16,467.20 × 3,187.60
  4. Step 4: Simplify right side
    10,978x = 52,490,846.72
  5. Step 5: Solve for x
    x = 52,490,846.72/10,978
  6. Step 6: Final answer
    x = 4,781.46

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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.