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Finding the Fourth Proportional to 7,857.94, 11,795.11 and 3,478.48

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Solution

The fourth proportional to 7,857.94, 11,795.11 and 3,478.48 is: 5,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.94 : 11,795.11 = 3,478.48 : x
  2. Step 2: Convert to fraction form
    7,857.94/11,795.11 = 3,478.48/x
  3. Step 3: Cross multiply
    7,857.94x = 11,795.11 × 3,478.48
  4. Step 4: Simplify right side
    7,857.94x = 41,029,054.23
  5. Step 5: Solve for x
    x = 41,029,054.23/7,857.94
  6. Step 6: Final answer
    x = 5,221.35

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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.