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Finding the Fourth Proportional to 13,858.16, 20,787.06 and 9,404.78

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Solution

The fourth proportional to 13,858.16, 20,787.06 and 9,404.78 is: 14,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.16 : 20,787.06 = 9,404.78 : x
  2. Step 2: Convert to fraction form
    13,858.16/20,787.06 = 9,404.78/x
  3. Step 3: Cross multiply
    13,858.16x = 20,787.06 × 9,404.78
  4. Step 4: Simplify right side
    13,858.16x = 195,497,726.15
  5. Step 5: Solve for x
    x = 195,497,726.15/13,858.16
  6. Step 6: Final answer
    x = 14,107.05

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1.5x scale

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.