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Finding the Fourth Proportional to 9,961.80, 14,910.30 and 7,758.60

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Solution

The fourth proportional to 9,961.80, 14,910.30 and 7,758.60 is: 11,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.80 : 14,910.30 = 7,758.60 : x
  2. Step 2: Convert to fraction form
    9,961.80/14,910.30 = 7,758.60/x
  3. Step 3: Cross multiply
    9,961.80x = 14,910.30 × 7,758.60
  4. Step 4: Simplify right side
    9,961.80x = 115,683,053.58
  5. Step 5: Solve for x
    x = 115,683,053.58/9,961.80
  6. Step 6: Final answer
    x = 11,612.67

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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.