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Finding the Fourth Proportional to 7,823, 10,795.74 and 4,286.22

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Solution

The fourth proportional to 7,823, 10,795.74 and 4,286.22 is: 5,914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823 : 10,795.74 = 4,286.22 : x
  2. Step 2: Convert to fraction form
    7,823/10,795.74 = 4,286.22/x
  3. Step 3: Cross multiply
    7,823x = 10,795.74 × 4,286.22
  4. Step 4: Simplify right side
    7,823x = 46,272,916.70
  5. Step 5: Solve for x
    x = 46,272,916.70/7,823
  6. Step 6: Final answer
    x = 5,914.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.