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Finding the Fourth Proportional to 2,838.97, 4,258.96 and 989.54

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Solution

The fourth proportional to 2,838.97, 4,258.96 and 989.54 is: 1,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.97 : 4,258.96 = 989.54 : x
  2. Step 2: Convert to fraction form
    2,838.97/4,258.96 = 989.54/x
  3. Step 3: Cross multiply
    2,838.97x = 4,258.96 × 989.54
  4. Step 4: Simplify right side
    2,838.97x = 4,214,387.51
  5. Step 5: Solve for x
    x = 4,214,387.51/2,838.97
  6. Step 6: Final answer
    x = 1,484.48

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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.