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Finding the Fourth Proportional to 9,989.54, 14,986.65 and 2,969.60

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Solution

The fourth proportional to 9,989.54, 14,986.65 and 2,969.60 is: 4,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.54 : 14,986.65 = 2,969.60 : x
  2. Step 2: Convert to fraction form
    9,989.54/14,986.65 = 2,969.60/x
  3. Step 3: Cross multiply
    9,989.54x = 14,986.65 × 2,969.60
  4. Step 4: Simplify right side
    9,989.54x = 44,504,355.84
  5. Step 5: Solve for x
    x = 44,504,355.84/9,989.54
  6. Step 6: Final answer
    x = 4,455.10

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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.