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Finding the Fourth Proportional to 10,240.88, 14,071.16 and 8,141.36

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Solution

The fourth proportional to 10,240.88, 14,071.16 and 8,141.36 is: 11,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,240.88 : 14,071.16 = 8,141.36 : x
  2. Step 2: Convert to fraction form
    10,240.88/14,071.16 = 8,141.36/x
  3. Step 3: Cross multiply
    10,240.88x = 14,071.16 × 8,141.36
  4. Step 4: Simplify right side
    10,240.88x = 114,558,379.18
  5. Step 5: Solve for x
    x = 114,558,379.18/10,240.88
  6. Step 6: Final answer
    x = 11,186.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.