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Finding the Fourth Proportional to 7,912.12, 11,810.20 and 6,977.96

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Solution

The fourth proportional to 7,912.12, 11,810.20 and 6,977.96 is: 10,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.12 : 11,810.20 = 6,977.96 : x
  2. Step 2: Convert to fraction form
    7,912.12/11,810.20 = 6,977.96/x
  3. Step 3: Cross multiply
    7,912.12x = 11,810.20 × 6,977.96
  4. Step 4: Simplify right side
    7,912.12x = 82,411,103.19
  5. Step 5: Solve for x
    x = 82,411,103.19/7,912.12
  6. Step 6: Final answer
    x = 10,415.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.