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Finding the Fourth Proportional to 13,674.41, 18,870.41 and 7,705.95

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Solution

The fourth proportional to 13,674.41, 18,870.41 and 7,705.95 is: 10,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.41 : 18,870.41 = 7,705.95 : x
  2. Step 2: Convert to fraction form
    13,674.41/18,870.41 = 7,705.95/x
  3. Step 3: Cross multiply
    13,674.41x = 18,870.41 × 7,705.95
  4. Step 4: Simplify right side
    13,674.41x = 145,414,397.41
  5. Step 5: Solve for x
    x = 145,414,397.41/13,674.41
  6. Step 6: Final answer
    x = 10,634.06

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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.