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Finding the Fourth Proportional to 10,913, 15,059.94 and 5,945

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Solution

The fourth proportional to 10,913, 15,059.94 and 5,945 is: 8,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913 : 15,059.94 = 5,945 : x
  2. Step 2: Convert to fraction form
    10,913/15,059.94 = 5,945/x
  3. Step 3: Cross multiply
    10,913x = 15,059.94 × 5,945
  4. Step 4: Simplify right side
    10,913x = 89,531,343.30
  5. Step 5: Solve for x
    x = 89,531,343.30/10,913
  6. Step 6: Final answer
    x = 8,204.10

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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.