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Finding the Fourth Proportional to 7,834.59, 11,751.73 and 1,911.50

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Solution

The fourth proportional to 7,834.59, 11,751.73 and 1,911.50 is: 2,867.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.59 : 11,751.73 = 1,911.50 : x
  2. Step 2: Convert to fraction form
    7,834.59/11,751.73 = 1,911.50/x
  3. Step 3: Cross multiply
    7,834.59x = 11,751.73 × 1,911.50
  4. Step 4: Simplify right side
    7,834.59x = 22,463,431.90
  5. Step 5: Solve for x
    x = 22,463,431.90/7,834.59
  6. Step 6: Final answer
    x = 2,867.21

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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.