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Finding the Fourth Proportional to 7,817.98, 10,788.38 and 4,280.50

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Solution

The fourth proportional to 7,817.98, 10,788.38 and 4,280.50 is: 5,906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.98 : 10,788.38 = 4,280.50 : x
  2. Step 2: Convert to fraction form
    7,817.98/10,788.38 = 4,280.50/x
  3. Step 3: Cross multiply
    7,817.98x = 10,788.38 × 4,280.50
  4. Step 4: Simplify right side
    7,817.98x = 46,179,660.59
  5. Step 5: Solve for x
    x = 46,179,660.59/7,817.98
  6. Step 6: Final answer
    x = 5,906.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.