Home / 13,998.32-20,984.52-7,838

Finding the Fourth Proportional to 13,998.32, 20,984.52 and 7,838

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Solution

The fourth proportional to 13,998.32, 20,984.52 and 7,838 is: 11,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998.32 : 20,984.52 = 7,838 : x
  2. Step 2: Convert to fraction form
    13,998.32/20,984.52 = 7,838/x
  3. Step 3: Cross multiply
    13,998.32x = 20,984.52 × 7,838
  4. Step 4: Simplify right side
    13,998.32x = 164,476,667.76
  5. Step 5: Solve for x
    x = 164,476,667.76/13,998.32
  6. Step 6: Final answer
    x = 11,749.74

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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.