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Finding the Fourth Proportional to 14,340, 21,517.30 and 6,550.64

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Solution

The fourth proportional to 14,340, 21,517.30 and 6,550.64 is: 9,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340 : 21,517.30 = 6,550.64 : x
  2. Step 2: Convert to fraction form
    14,340/21,517.30 = 6,550.64/x
  3. Step 3: Cross multiply
    14,340x = 21,517.30 × 6,550.64
  4. Step 4: Simplify right side
    14,340x = 140,952,086.07
  5. Step 5: Solve for x
    x = 140,952,086.07/14,340
  6. Step 6: Final answer
    x = 9,829.29

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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.