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Finding the Fourth Proportional to 7,873.75, 11,806.35 and 3,916.32

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Solution

The fourth proportional to 7,873.75, 11,806.35 and 3,916.32 is: 5,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.75 : 11,806.35 = 3,916.32 : x
  2. Step 2: Convert to fraction form
    7,873.75/11,806.35 = 3,916.32/x
  3. Step 3: Cross multiply
    7,873.75x = 11,806.35 × 3,916.32
  4. Step 4: Simplify right side
    7,873.75x = 46,237,444.63
  5. Step 5: Solve for x
    x = 46,237,444.63/7,873.75
  6. Step 6: Final answer
    x = 5,872.35

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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.