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Finding the Fourth Proportional to 14,787.14, 20,406.06 and 8,072.71

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Solution

The fourth proportional to 14,787.14, 20,406.06 and 8,072.71 is: 11,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787.14 : 20,406.06 = 8,072.71 : x
  2. Step 2: Convert to fraction form
    14,787.14/20,406.06 = 8,072.71/x
  3. Step 3: Cross multiply
    14,787.14x = 20,406.06 × 8,072.71
  4. Step 4: Simplify right side
    14,787.14x = 164,732,153.61
  5. Step 5: Solve for x
    x = 164,732,153.61/14,787.14
  6. Step 6: Final answer
    x = 11,140.23

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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.