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Finding the Fourth Proportional to 13,874, 19,141.44 and 7,901.46

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Solution

The fourth proportional to 13,874, 19,141.44 and 7,901.46 is: 10,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874 : 19,141.44 = 7,901.46 : x
  2. Step 2: Convert to fraction form
    13,874/19,141.44 = 7,901.46/x
  3. Step 3: Cross multiply
    13,874x = 19,141.44 × 7,901.46
  4. Step 4: Simplify right side
    13,874x = 151,245,322.50
  5. Step 5: Solve for x
    x = 151,245,322.50/13,874
  6. Step 6: Final answer
    x = 10,901.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.