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Finding the Fourth Proportional to 12,912.15, 17,811.26 and 8,130.22

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Solution

The fourth proportional to 12,912.15, 17,811.26 and 8,130.22 is: 11,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.15 : 17,811.26 = 8,130.22 : x
  2. Step 2: Convert to fraction form
    12,912.15/17,811.26 = 8,130.22/x
  3. Step 3: Cross multiply
    12,912.15x = 17,811.26 × 8,130.22
  4. Step 4: Simplify right side
    12,912.15x = 144,809,438.07
  5. Step 5: Solve for x
    x = 144,809,438.07/12,912.15
  6. Step 6: Final answer
    x = 11,214.97

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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.