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Finding the Fourth Proportional to 16,978.43, 25,467.66 and 5,291.64

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Solution

The fourth proportional to 16,978.43, 25,467.66 and 5,291.64 is: 7,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978.43 : 25,467.66 = 5,291.64 : x
  2. Step 2: Convert to fraction form
    16,978.43/25,467.66 = 5,291.64/x
  3. Step 3: Cross multiply
    16,978.43x = 25,467.66 × 5,291.64
  4. Step 4: Simplify right side
    16,978.43x = 134,765,688.36
  5. Step 5: Solve for x
    x = 134,765,688.36/16,978.43
  6. Step 6: Final answer
    x = 7,937.46

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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.