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Finding the Fourth Proportional to 12,801.82, 17,674.08 and 11,381.58

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Solution

The fourth proportional to 12,801.82, 17,674.08 and 11,381.58 is: 15,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.82 : 17,674.08 = 11,381.58 : x
  2. Step 2: Convert to fraction form
    12,801.82/17,674.08 = 11,381.58/x
  3. Step 3: Cross multiply
    12,801.82x = 17,674.08 × 11,381.58
  4. Step 4: Simplify right side
    12,801.82x = 201,158,955.45
  5. Step 5: Solve for x
    x = 201,158,955.45/12,801.82
  6. Step 6: Final answer
    x = 15,713.31

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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.