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Finding the Fourth Proportional to 13,989.14, 19,305 and 7,701.92

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Solution

The fourth proportional to 13,989.14, 19,305 and 7,701.92 is: 10,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989.14 : 19,305 = 7,701.92 : x
  2. Step 2: Convert to fraction form
    13,989.14/19,305 = 7,701.92/x
  3. Step 3: Cross multiply
    13,989.14x = 19,305 × 7,701.92
  4. Step 4: Simplify right side
    13,989.14x = 148,685,565.60
  5. Step 5: Solve for x
    x = 148,685,565.60/13,989.14
  6. Step 6: Final answer
    x = 10,628.64

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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.