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Finding the Fourth Proportional to 2,288.74, 3,431.08 and 989.50

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Solution

The fourth proportional to 2,288.74, 3,431.08 and 989.50 is: 1,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.74 : 3,431.08 = 989.50 : x
  2. Step 2: Convert to fraction form
    2,288.74/3,431.08 = 989.50/x
  3. Step 3: Cross multiply
    2,288.74x = 3,431.08 × 989.50
  4. Step 4: Simplify right side
    2,288.74x = 3,395,055.54
  5. Step 5: Solve for x
    x = 3,395,055.54/2,288.74
  6. Step 6: Final answer
    x = 1,483.37

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1.5x scale

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.