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Finding the Fourth Proportional to 2,837.92, 4,258.82 and 989.03

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Solution

The fourth proportional to 2,837.92, 4,258.82 and 989.03 is: 1,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.92 : 4,258.82 = 989.03 : x
  2. Step 2: Convert to fraction form
    2,837.92/4,258.82 = 989.03/x
  3. Step 3: Cross multiply
    2,837.92x = 4,258.82 × 989.03
  4. Step 4: Simplify right side
    2,837.92x = 4,212,100.74
  5. Step 5: Solve for x
    x = 4,212,100.74/2,837.92
  6. Step 6: Final answer
    x = 1,484.22

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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.