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Finding the Fourth Proportional to 13,761.81, 18,991.08 and 7,474.14

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Solution

The fourth proportional to 13,761.81, 18,991.08 and 7,474.14 is: 10,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.81 : 18,991.08 = 7,474.14 : x
  2. Step 2: Convert to fraction form
    13,761.81/18,991.08 = 7,474.14/x
  3. Step 3: Cross multiply
    13,761.81x = 18,991.08 × 7,474.14
  4. Step 4: Simplify right side
    13,761.81x = 141,941,990.67
  5. Step 5: Solve for x
    x = 141,941,990.67/13,761.81
  6. Step 6: Final answer
    x = 10,314.19

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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.