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Finding the Fourth Proportional to 12,871.36, 17,764.68 and 7,838.02

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Solution

The fourth proportional to 12,871.36, 17,764.68 and 7,838.02 is: 10,817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.36 : 17,764.68 = 7,838.02 : x
  2. Step 2: Convert to fraction form
    12,871.36/17,764.68 = 7,838.02/x
  3. Step 3: Cross multiply
    12,871.36x = 17,764.68 × 7,838.02
  4. Step 4: Simplify right side
    12,871.36x = 139,239,917.13
  5. Step 5: Solve for x
    x = 139,239,917.13/12,871.36
  6. Step 6: Final answer
    x = 10,817.81

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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.