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Finding the Fourth Proportional to 7,803.87, 11,707.56 and 4,107.84

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Solution

The fourth proportional to 7,803.87, 11,707.56 and 4,107.84 is: 6,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.87 : 11,707.56 = 4,107.84 : x
  2. Step 2: Convert to fraction form
    7,803.87/11,707.56 = 4,107.84/x
  3. Step 3: Cross multiply
    7,803.87x = 11,707.56 × 4,107.84
  4. Step 4: Simplify right side
    7,803.87x = 48,092,783.27
  5. Step 5: Solve for x
    x = 48,092,783.27/7,803.87
  6. Step 6: Final answer
    x = 6,162.68

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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.