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Finding the Fourth Proportional to 7,687.98, 11,537.49 and 5,216.67

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Solution

The fourth proportional to 7,687.98, 11,537.49 and 5,216.67 is: 7,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.98 : 11,537.49 = 5,216.67 : x
  2. Step 2: Convert to fraction form
    7,687.98/11,537.49 = 5,216.67/x
  3. Step 3: Cross multiply
    7,687.98x = 11,537.49 × 5,216.67
  4. Step 4: Simplify right side
    7,687.98x = 60,187,277.96
  5. Step 5: Solve for x
    x = 60,187,277.96/7,687.98
  6. Step 6: Final answer
    x = 7,828.75

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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.