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Finding the Fourth Proportional to 7,873.84, 11,803.69 and 7,189.03

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Solution

The fourth proportional to 7,873.84, 11,803.69 and 7,189.03 is: 10,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.84 : 11,803.69 = 7,189.03 : x
  2. Step 2: Convert to fraction form
    7,873.84/11,803.69 = 7,189.03/x
  3. Step 3: Cross multiply
    7,873.84x = 11,803.69 × 7,189.03
  4. Step 4: Simplify right side
    7,873.84x = 84,857,081.52
  5. Step 5: Solve for x
    x = 84,857,081.52/7,873.84
  6. Step 6: Final answer
    x = 10,777.09

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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.