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Finding the Fourth Proportional to 7,977.93, 11,000.93 and 7,796.49

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Solution

The fourth proportional to 7,977.93, 11,000.93 and 7,796.49 is: 10,750.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.93 : 11,000.93 = 7,796.49 : x
  2. Step 2: Convert to fraction form
    7,977.93/11,000.93 = 7,796.49/x
  3. Step 3: Cross multiply
    7,977.93x = 11,000.93 × 7,796.49
  4. Step 4: Simplify right side
    7,977.93x = 85,768,601.75
  5. Step 5: Solve for x
    x = 85,768,601.75/7,977.93
  6. Step 6: Final answer
    x = 10,750.73

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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.