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Finding the Fourth Proportional to 14,787.14, 20,405.88 and 8,072.96

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Solution

The fourth proportional to 14,787.14, 20,405.88 and 8,072.96 is: 11,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787.14 : 20,405.88 = 8,072.96 : x
  2. Step 2: Convert to fraction form
    14,787.14/20,405.88 = 8,072.96/x
  3. Step 3: Cross multiply
    14,787.14x = 20,405.88 × 8,072.96
  4. Step 4: Simplify right side
    14,787.14x = 164,735,853.00
  5. Step 5: Solve for x
    x = 164,735,853.00/14,787.14
  6. Step 6: Final answer
    x = 11,140.48

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1.5x scale

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.