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Finding the Fourth Proportional to 12,932.40, 17,846.22 and 7,905.06

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Solution

The fourth proportional to 12,932.40, 17,846.22 and 7,905.06 is: 10,908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.40 : 17,846.22 = 7,905.06 : x
  2. Step 2: Convert to fraction form
    12,932.40/17,846.22 = 7,905.06/x
  3. Step 3: Cross multiply
    12,932.40x = 17,846.22 × 7,905.06
  4. Step 4: Simplify right side
    12,932.40x = 141,075,439.87
  5. Step 5: Solve for x
    x = 141,075,439.87/12,932.40
  6. Step 6: Final answer
    x = 10,908.68

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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.