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Finding the Fourth Proportional to 11,858.78, 16,368.28 and 7,380

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Solution

The fourth proportional to 11,858.78, 16,368.28 and 7,380 is: 10,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.78 : 16,368.28 = 7,380 : x
  2. Step 2: Convert to fraction form
    11,858.78/16,368.28 = 7,380/x
  3. Step 3: Cross multiply
    11,858.78x = 16,368.28 × 7,380
  4. Step 4: Simplify right side
    11,858.78x = 120,797,906.40
  5. Step 5: Solve for x
    x = 120,797,906.40/11,858.78
  6. Step 6: Final answer
    x = 10,186.37

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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.