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Finding the Fourth Proportional to 7,765.88, 11,649.08 and 2,571.62

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Solution

The fourth proportional to 7,765.88, 11,649.08 and 2,571.62 is: 3,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.88 : 11,649.08 = 2,571.62 : x
  2. Step 2: Convert to fraction form
    7,765.88/11,649.08 = 2,571.62/x
  3. Step 3: Cross multiply
    7,765.88x = 11,649.08 × 2,571.62
  4. Step 4: Simplify right side
    7,765.88x = 29,956,955.29
  5. Step 5: Solve for x
    x = 29,956,955.29/7,765.88
  6. Step 6: Final answer
    x = 3,857.51

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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.