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Finding the Fourth Proportional to 13,896.66, 20,825.10 and 13,148.22

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Solution

The fourth proportional to 13,896.66, 20,825.10 and 13,148.22 is: 19,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.66 : 20,825.10 = 13,148.22 : x
  2. Step 2: Convert to fraction form
    13,896.66/20,825.10 = 13,148.22/x
  3. Step 3: Cross multiply
    13,896.66x = 20,825.10 × 13,148.22
  4. Step 4: Simplify right side
    13,896.66x = 273,812,996.32
  5. Step 5: Solve for x
    x = 273,812,996.32/13,896.66
  6. Step 6: Final answer
    x = 19,703.51

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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.