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Finding the Fourth Proportional to 9,969.89, 13,758.36 and 5,990.90

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Solution

The fourth proportional to 9,969.89, 13,758.36 and 5,990.90 is: 8,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.89 : 13,758.36 = 5,990.90 : x
  2. Step 2: Convert to fraction form
    9,969.89/13,758.36 = 5,990.90/x
  3. Step 3: Cross multiply
    9,969.89x = 13,758.36 × 5,990.90
  4. Step 4: Simplify right side
    9,969.89x = 82,424,958.92
  5. Step 5: Solve for x
    x = 82,424,958.92/9,969.89
  6. Step 6: Final answer
    x = 8,267.39

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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.