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Finding the Fourth Proportional to 19,804.33, 27,311.70 and 13,440.16

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Solution

The fourth proportional to 19,804.33, 27,311.70 and 13,440.16 is: 18,535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.33 : 27,311.70 = 13,440.16 : x
  2. Step 2: Convert to fraction form
    19,804.33/27,311.70 = 13,440.16/x
  3. Step 3: Cross multiply
    19,804.33x = 27,311.70 × 13,440.16
  4. Step 4: Simplify right side
    19,804.33x = 367,073,481.31
  5. Step 5: Solve for x
    x = 367,073,481.31/19,804.33
  6. Step 6: Final answer
    x = 18,535.02

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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.