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Finding the Fourth Proportional to 7,765.71, 11,644.76 and 3,322.76

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Solution

The fourth proportional to 7,765.71, 11,644.76 and 3,322.76 is: 4,982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.71 : 11,644.76 = 3,322.76 : x
  2. Step 2: Convert to fraction form
    7,765.71/11,644.76 = 3,322.76/x
  3. Step 3: Cross multiply
    7,765.71x = 11,644.76 × 3,322.76
  4. Step 4: Simplify right side
    7,765.71x = 38,692,692.82
  5. Step 5: Solve for x
    x = 38,692,692.82/7,765.71
  6. Step 6: Final answer
    x = 4,982.51

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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.