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Finding the Fourth Proportional to 3,455.48, 5,182.46 and 989.75

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Solution

The fourth proportional to 3,455.48, 5,182.46 and 989.75 is: 1,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.48 : 5,182.46 = 989.75 : x
  2. Step 2: Convert to fraction form
    3,455.48/5,182.46 = 989.75/x
  3. Step 3: Cross multiply
    3,455.48x = 5,182.46 × 989.75
  4. Step 4: Simplify right side
    3,455.48x = 5,129,351.50
  5. Step 5: Solve for x
    x = 5,129,351.50/3,455.48
  6. Step 6: Final answer
    x = 1,484.41

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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.