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Finding the Fourth Proportional to 13,872.10, 20,810.94 and 5,107.06

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Solution

The fourth proportional to 13,872.10, 20,810.94 and 5,107.06 is: 7,661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.10 : 20,810.94 = 5,107.06 : x
  2. Step 2: Convert to fraction form
    13,872.10/20,810.94 = 5,107.06/x
  3. Step 3: Cross multiply
    13,872.10x = 20,810.94 × 5,107.06
  4. Step 4: Simplify right side
    13,872.10x = 106,282,719.24
  5. Step 5: Solve for x
    x = 106,282,719.24/13,872.10
  6. Step 6: Final answer
    x = 7,661.62

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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.