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Finding the Fourth Proportional to 9,980, 14,969.94 and 2,584.44

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Solution

The fourth proportional to 9,980, 14,969.94 and 2,584.44 is: 3,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980 : 14,969.94 = 2,584.44 : x
  2. Step 2: Convert to fraction form
    9,980/14,969.94 = 2,584.44/x
  3. Step 3: Cross multiply
    9,980x = 14,969.94 × 2,584.44
  4. Step 4: Simplify right side
    9,980x = 38,688,911.73
  5. Step 5: Solve for x
    x = 38,688,911.73/9,980
  6. Step 6: Final answer
    x = 3,876.64

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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.