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Finding the Fourth Proportional to 7,866.50, 10,855.50 and 4,329.50

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Solution

The fourth proportional to 7,866.50, 10,855.50 and 4,329.50 is: 5,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.50 : 10,855.50 = 4,329.50 : x
  2. Step 2: Convert to fraction form
    7,866.50/10,855.50 = 4,329.50/x
  3. Step 3: Cross multiply
    7,866.50x = 10,855.50 × 4,329.50
  4. Step 4: Simplify right side
    7,866.50x = 46,998,887.25
  5. Step 5: Solve for x
    x = 46,998,887.25/7,866.50
  6. Step 6: Final answer
    x = 5,974.56

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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.