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Finding the Fourth Proportional to 7,873, 11,809.50 and 3,256.12

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Solution

The fourth proportional to 7,873, 11,809.50 and 3,256.12 is: 4,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873 : 11,809.50 = 3,256.12 : x
  2. Step 2: Convert to fraction form
    7,873/11,809.50 = 3,256.12/x
  3. Step 3: Cross multiply
    7,873x = 11,809.50 × 3,256.12
  4. Step 4: Simplify right side
    7,873x = 38,453,149.14
  5. Step 5: Solve for x
    x = 38,453,149.14/7,873
  6. Step 6: Final answer
    x = 4,884.18

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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.