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Finding the Fourth Proportional to 13,874, 20,807.24 and 6,471.22

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Solution

The fourth proportional to 13,874, 20,807.24 and 6,471.22 is: 9,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874 : 20,807.24 = 6,471.22 : x
  2. Step 2: Convert to fraction form
    13,874/20,807.24 = 6,471.22/x
  3. Step 3: Cross multiply
    13,874x = 20,807.24 × 6,471.22
  4. Step 4: Simplify right side
    13,874x = 134,648,227.63
  5. Step 5: Solve for x
    x = 134,648,227.63/13,874
  6. Step 6: Final answer
    x = 9,705.08

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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.