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Finding the Fourth Proportional to 12,991.84, 17,934.42 and 8,282.32

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Solution

The fourth proportional to 12,991.84, 17,934.42 and 8,282.32 is: 11,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.84 : 17,934.42 = 8,282.32 : x
  2. Step 2: Convert to fraction form
    12,991.84/17,934.42 = 8,282.32/x
  3. Step 3: Cross multiply
    12,991.84x = 17,934.42 × 8,282.32
  4. Step 4: Simplify right side
    12,991.84x = 148,538,605.45
  5. Step 5: Solve for x
    x = 148,538,605.45/12,991.84
  6. Step 6: Final answer
    x = 11,433.22

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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.