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Finding the Fourth Proportional to 16,978.80, 23,435.64 and 10,264.44

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Solution

The fourth proportional to 16,978.80, 23,435.64 and 10,264.44 is: 14,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978.80 : 23,435.64 = 10,264.44 : x
  2. Step 2: Convert to fraction form
    16,978.80/23,435.64 = 10,264.44/x
  3. Step 3: Cross multiply
    16,978.80x = 23,435.64 × 10,264.44
  4. Step 4: Simplify right side
    16,978.80x = 240,553,720.64
  5. Step 5: Solve for x
    x = 240,553,720.64/16,978.80
  6. Step 6: Final answer
    x = 14,167.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.