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Finding the Fourth Proportional to 7,766.99, 11,650.43 and 4,647.87

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Solution

The fourth proportional to 7,766.99, 11,650.43 and 4,647.87 is: 6,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.99 : 11,650.43 = 4,647.87 : x
  2. Step 2: Convert to fraction form
    7,766.99/11,650.43 = 4,647.87/x
  3. Step 3: Cross multiply
    7,766.99x = 11,650.43 × 4,647.87
  4. Step 4: Simplify right side
    7,766.99x = 54,149,684.08
  5. Step 5: Solve for x
    x = 54,149,684.08/7,766.99
  6. Step 6: Final answer
    x = 6,971.77

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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.