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Finding the Fourth Proportional to 14,075, 19,421.82 and 7,786.52

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Solution

The fourth proportional to 14,075, 19,421.82 and 7,786.52 is: 10,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075 : 19,421.82 = 7,786.52 : x
  2. Step 2: Convert to fraction form
    14,075/19,421.82 = 7,786.52/x
  3. Step 3: Cross multiply
    14,075x = 19,421.82 × 7,786.52
  4. Step 4: Simplify right side
    14,075x = 151,228,389.87
  5. Step 5: Solve for x
    x = 151,228,389.87/14,075
  6. Step 6: Final answer
    x = 10,744.47

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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.