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Finding the Fourth Proportional to 8,651.82, 11,931.54 and 5,775.49

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Solution

The fourth proportional to 8,651.82, 11,931.54 and 5,775.49 is: 7,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.82 : 11,931.54 = 5,775.49 : x
  2. Step 2: Convert to fraction form
    8,651.82/11,931.54 = 5,775.49/x
  3. Step 3: Cross multiply
    8,651.82x = 11,931.54 × 5,775.49
  4. Step 4: Simplify right side
    8,651.82x = 68,910,430.30
  5. Step 5: Solve for x
    x = 68,910,430.30/8,651.82
  6. Step 6: Final answer
    x = 7,964.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.