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Finding the Fourth Proportional to 11,201.36, 15,468.72 and 8,402

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Solution

The fourth proportional to 11,201.36, 15,468.72 and 8,402 is: 11,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.36 : 15,468.72 = 8,402 : x
  2. Step 2: Convert to fraction form
    11,201.36/15,468.72 = 8,402/x
  3. Step 3: Cross multiply
    11,201.36x = 15,468.72 × 8,402
  4. Step 4: Simplify right side
    11,201.36x = 129,968,185.44
  5. Step 5: Solve for x
    x = 129,968,185.44/11,201.36
  6. Step 6: Final answer
    x = 11,602.89

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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.