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Finding the Fourth Proportional to 2,838.50, 4,257.76 and 786.50

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Solution

The fourth proportional to 2,838.50, 4,257.76 and 786.50 is: 1,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.50 : 4,257.76 = 786.50 : x
  2. Step 2: Convert to fraction form
    2,838.50/4,257.76 = 786.50/x
  3. Step 3: Cross multiply
    2,838.50x = 4,257.76 × 786.50
  4. Step 4: Simplify right side
    2,838.50x = 3,348,728.24
  5. Step 5: Solve for x
    x = 3,348,728.24/2,838.50
  6. Step 6: Final answer
    x = 1,179.75

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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.