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Finding the Fourth Proportional to 14,978.21, 22,467.85 and 5,617.28

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Solution

The fourth proportional to 14,978.21, 22,467.85 and 5,617.28 is: 8,426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.21 : 22,467.85 = 5,617.28 : x
  2. Step 2: Convert to fraction form
    14,978.21/22,467.85 = 5,617.28/x
  3. Step 3: Cross multiply
    14,978.21x = 22,467.85 × 5,617.28
  4. Step 4: Simplify right side
    14,978.21x = 126,208,078.07
  5. Step 5: Solve for x
    x = 126,208,078.07/14,978.21
  6. Step 6: Final answer
    x = 8,426.12

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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.