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Finding the Fourth Proportional to 2,764.05, 4,146 and 915.13

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Solution

The fourth proportional to 2,764.05, 4,146 and 915.13 is: 1,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.05 : 4,146 = 915.13 : x
  2. Step 2: Convert to fraction form
    2,764.05/4,146 = 915.13/x
  3. Step 3: Cross multiply
    2,764.05x = 4,146 × 915.13
  4. Step 4: Simplify right side
    2,764.05x = 3,794,128.98
  5. Step 5: Solve for x
    x = 3,794,128.98/2,764.05
  6. Step 6: Final answer
    x = 1,372.67

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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.