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Finding the Fourth Proportional to 14,205.31, 19,606.86 and 8,240.57

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Solution

The fourth proportional to 14,205.31, 19,606.86 and 8,240.57 is: 11,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.31 : 19,606.86 = 8,240.57 : x
  2. Step 2: Convert to fraction form
    14,205.31/19,606.86 = 8,240.57/x
  3. Step 3: Cross multiply
    14,205.31x = 19,606.86 × 8,240.57
  4. Step 4: Simplify right side
    14,205.31x = 161,571,677.80
  5. Step 5: Solve for x
    x = 161,571,677.80/14,205.31
  6. Step 6: Final answer
    x = 11,374.04

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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.