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Finding the Fourth Proportional to 7,766.99, 11,650.21 and 2,572.82

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Solution

The fourth proportional to 7,766.99, 11,650.21 and 2,572.82 is: 3,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.99 : 11,650.21 = 2,572.82 : x
  2. Step 2: Convert to fraction form
    7,766.99/11,650.21 = 2,572.82/x
  3. Step 3: Cross multiply
    7,766.99x = 11,650.21 × 2,572.82
  4. Step 4: Simplify right side
    7,766.99x = 29,973,893.29
  5. Step 5: Solve for x
    x = 29,973,893.29/7,766.99
  6. Step 6: Final answer
    x = 3,859.14

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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.