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Finding the Fourth Proportional to 7,900.16, 11,850.78 and 2,709.68

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Solution

The fourth proportional to 7,900.16, 11,850.78 and 2,709.68 is: 4,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.16 : 11,850.78 = 2,709.68 : x
  2. Step 2: Convert to fraction form
    7,900.16/11,850.78 = 2,709.68/x
  3. Step 3: Cross multiply
    7,900.16x = 11,850.78 × 2,709.68
  4. Step 4: Simplify right side
    7,900.16x = 32,111,821.55
  5. Step 5: Solve for x
    x = 32,111,821.55/7,900.16
  6. Step 6: Final answer
    x = 4,064.71

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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.