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Finding the Fourth Proportional to 2,516.65, 3,774.98 and 667.78

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Solution

The fourth proportional to 2,516.65, 3,774.98 and 667.78 is: 1,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.65 : 3,774.98 = 667.78 : x
  2. Step 2: Convert to fraction form
    2,516.65/3,774.98 = 667.78/x
  3. Step 3: Cross multiply
    2,516.65x = 3,774.98 × 667.78
  4. Step 4: Simplify right side
    2,516.65x = 2,520,848.38
  5. Step 5: Solve for x
    x = 2,520,848.38/2,516.65
  6. Step 6: Final answer
    x = 1,001.67

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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.