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Finding the Fourth Proportional to 13,762.21, 18,991.92 and 7,474.59

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Solution

The fourth proportional to 13,762.21, 18,991.92 and 7,474.59 is: 10,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.21 : 18,991.92 = 7,474.59 : x
  2. Step 2: Convert to fraction form
    13,762.21/18,991.92 = 7,474.59/x
  3. Step 3: Cross multiply
    13,762.21x = 18,991.92 × 7,474.59
  4. Step 4: Simplify right side
    13,762.21x = 141,956,815.31
  5. Step 5: Solve for x
    x = 141,956,815.31/13,762.21
  6. Step 6: Final answer
    x = 10,314.97

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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.