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Finding the Fourth Proportional to 7,803.94, 11,707.07 and 2,873.20

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Solution

The fourth proportional to 7,803.94, 11,707.07 and 2,873.20 is: 4,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.94 : 11,707.07 = 2,873.20 : x
  2. Step 2: Convert to fraction form
    7,803.94/11,707.07 = 2,873.20/x
  3. Step 3: Cross multiply
    7,803.94x = 11,707.07 × 2,873.20
  4. Step 4: Simplify right side
    7,803.94x = 33,636,731.44
  5. Step 5: Solve for x
    x = 33,636,731.44/7,803.94
  6. Step 6: Final answer
    x = 4,310.23

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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.