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Finding the Fourth Proportional to 14,538, 20,062.44 and 7,914

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Solution

The fourth proportional to 14,538, 20,062.44 and 7,914 is: 10,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538 : 20,062.44 = 7,914 : x
  2. Step 2: Convert to fraction form
    14,538/20,062.44 = 7,914/x
  3. Step 3: Cross multiply
    14,538x = 20,062.44 × 7,914
  4. Step 4: Simplify right side
    14,538x = 158,774,150.16
  5. Step 5: Solve for x
    x = 158,774,150.16/14,538
  6. Step 6: Final answer
    x = 10,921.32

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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.