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Finding the Fourth Proportional to 11,377, 17,064.54 and 3,880

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Solution

The fourth proportional to 11,377, 17,064.54 and 3,880 is: 5,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377 : 17,064.54 = 3,880 : x
  2. Step 2: Convert to fraction form
    11,377/17,064.54 = 3,880/x
  3. Step 3: Cross multiply
    11,377x = 17,064.54 × 3,880
  4. Step 4: Simplify right side
    11,377x = 66,210,415.20
  5. Step 5: Solve for x
    x = 66,210,415.20/11,377
  6. Step 6: Final answer
    x = 5,819.67

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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.