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Finding the Fourth Proportional to 3,180.86, 4,771.61 and 989.00

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Solution

The fourth proportional to 3,180.86, 4,771.61 and 989.00 is: 1,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.86 : 4,771.61 = 989.00 : x
  2. Step 2: Convert to fraction form
    3,180.86/4,771.61 = 989.00/x
  3. Step 3: Cross multiply
    3,180.86x = 4,771.61 × 989.00
  4. Step 4: Simplify right side
    3,180.86x = 4,719,093.49
  5. Step 5: Solve for x
    x = 4,719,093.49/3,180.86
  6. Step 6: Final answer
    x = 1,483.59

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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.