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Finding the Fourth Proportional to 2,838.50, 4,257.05 and 989.34

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Solution

The fourth proportional to 2,838.50, 4,257.05 and 989.34 is: 1,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.50 : 4,257.05 = 989.34 : x
  2. Step 2: Convert to fraction form
    2,838.50/4,257.05 = 989.34/x
  3. Step 3: Cross multiply
    2,838.50x = 4,257.05 × 989.34
  4. Step 4: Simplify right side
    2,838.50x = 4,211,664.90
  5. Step 5: Solve for x
    x = 4,211,664.90/2,838.50
  6. Step 6: Final answer
    x = 1,483.77

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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.