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Finding the Fourth Proportional to 9,758.80, 14,609.44 and 6,049.09

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Solution

The fourth proportional to 9,758.80, 14,609.44 and 6,049.09 is: 9,055.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.80 : 14,609.44 = 6,049.09 : x
  2. Step 2: Convert to fraction form
    9,758.80/14,609.44 = 6,049.09/x
  3. Step 3: Cross multiply
    9,758.80x = 14,609.44 × 6,049.09
  4. Step 4: Simplify right side
    9,758.80x = 88,373,817.41
  5. Step 5: Solve for x
    x = 88,373,817.41/9,758.80
  6. Step 6: Final answer
    x = 9,055.81

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1.5x scale

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.