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Finding the Fourth Proportional to 13,842.94, 19,102.65 and 7,873.90

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Solution

The fourth proportional to 13,842.94, 19,102.65 and 7,873.90 is: 10,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.94 : 19,102.65 = 7,873.90 : x
  2. Step 2: Convert to fraction form
    13,842.94/19,102.65 = 7,873.90/x
  3. Step 3: Cross multiply
    13,842.94x = 19,102.65 × 7,873.90
  4. Step 4: Simplify right side
    13,842.94x = 150,412,355.84
  5. Step 5: Solve for x
    x = 150,412,355.84/13,842.94
  6. Step 6: Final answer
    x = 10,865.64

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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.