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Finding the Fourth Proportional to 3,911.54, 5,866.74 and 989.69

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Solution

The fourth proportional to 3,911.54, 5,866.74 and 989.69 is: 1,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.54 : 5,866.74 = 989.69 : x
  2. Step 2: Convert to fraction form
    3,911.54/5,866.74 = 989.69/x
  3. Step 3: Cross multiply
    3,911.54x = 5,866.74 × 989.69
  4. Step 4: Simplify right side
    3,911.54x = 5,806,224.58
  5. Step 5: Solve for x
    x = 5,806,224.58/3,911.54
  6. Step 6: Final answer
    x = 1,484.39

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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.