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Finding the Fourth Proportional to 11,969.15, 17,935.50 and 8,218.49

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Solution

The fourth proportional to 11,969.15, 17,935.50 and 8,218.49 is: 12,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.15 : 17,935.50 = 8,218.49 : x
  2. Step 2: Convert to fraction form
    11,969.15/17,935.50 = 8,218.49/x
  3. Step 3: Cross multiply
    11,969.15x = 17,935.50 × 8,218.49
  4. Step 4: Simplify right side
    11,969.15x = 147,402,727.40
  5. Step 5: Solve for x
    x = 147,402,727.40/11,969.15
  6. Step 6: Final answer
    x = 12,315.22

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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.