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Finding the Fourth Proportional to 16,002.75, 22,087.75 and 9,720.39

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Solution

The fourth proportional to 16,002.75, 22,087.75 and 9,720.39 is: 13,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.75 : 22,087.75 = 9,720.39 : x
  2. Step 2: Convert to fraction form
    16,002.75/22,087.75 = 9,720.39/x
  3. Step 3: Cross multiply
    16,002.75x = 22,087.75 × 9,720.39
  4. Step 4: Simplify right side
    16,002.75x = 214,701,544.22
  5. Step 5: Solve for x
    x = 214,701,544.22/16,002.75
  6. Step 6: Final answer
    x = 13,416.54

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1.5x scale

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.