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Finding the Fourth Proportional to 13,812.37, 19,061.07 and 7,524.75

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Solution

The fourth proportional to 13,812.37, 19,061.07 and 7,524.75 is: 10,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.37 : 19,061.07 = 7,524.75 : x
  2. Step 2: Convert to fraction form
    13,812.37/19,061.07 = 7,524.75/x
  3. Step 3: Cross multiply
    13,812.37x = 19,061.07 × 7,524.75
  4. Step 4: Simplify right side
    13,812.37x = 143,429,786.48
  5. Step 5: Solve for x
    x = 143,429,786.48/13,812.37
  6. Step 6: Final answer
    x = 10,384.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.