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Finding the Fourth Proportional to 2,838.72, 4,258.59 and 989.29

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Solution

The fourth proportional to 2,838.72, 4,258.59 and 989.29 is: 1,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.72 : 4,258.59 = 989.29 : x
  2. Step 2: Convert to fraction form
    2,838.72/4,258.59 = 989.29/x
  3. Step 3: Cross multiply
    2,838.72x = 4,258.59 × 989.29
  4. Step 4: Simplify right side
    2,838.72x = 4,212,954.26
  5. Step 5: Solve for x
    x = 4,212,954.26/2,838.72
  6. Step 6: Final answer
    x = 1,484.10

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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.