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Finding the Fourth Proportional to 7,834.07, 11,751.14 and 1,990.67

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Solution

The fourth proportional to 7,834.07, 11,751.14 and 1,990.67 is: 2,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.07 : 11,751.14 = 1,990.67 : x
  2. Step 2: Convert to fraction form
    7,834.07/11,751.14 = 1,990.67/x
  3. Step 3: Cross multiply
    7,834.07x = 11,751.14 × 1,990.67
  4. Step 4: Simplify right side
    7,834.07x = 23,392,588.08
  5. Step 5: Solve for x
    x = 23,392,588.08/7,834.07
  6. Step 6: Final answer
    x = 2,986.01

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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.