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Finding the Fourth Proportional to 20,476.64, 30,709.43 and 8,787.13

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Solution

The fourth proportional to 20,476.64, 30,709.43 and 8,787.13 is: 13,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.64 : 30,709.43 = 8,787.13 : x
  2. Step 2: Convert to fraction form
    20,476.64/30,709.43 = 8,787.13/x
  3. Step 3: Cross multiply
    20,476.64x = 30,709.43 × 8,787.13
  4. Step 4: Simplify right side
    20,476.64x = 269,847,665.88
  5. Step 5: Solve for x
    x = 269,847,665.88/20,476.64
  6. Step 6: Final answer
    x = 13,178.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.