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Finding the Fourth Proportional to 7,718.03, 11,576.96 and 1,874.65

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Solution

The fourth proportional to 7,718.03, 11,576.96 and 1,874.65 is: 2,811.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.03 : 11,576.96 = 1,874.65 : x
  2. Step 2: Convert to fraction form
    7,718.03/11,576.96 = 1,874.65/x
  3. Step 3: Cross multiply
    7,718.03x = 11,576.96 × 1,874.65
  4. Step 4: Simplify right side
    7,718.03x = 21,702,680.81
  5. Step 5: Solve for x
    x = 21,702,680.81/7,718.03
  6. Step 6: Final answer
    x = 2,811.95

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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.