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Finding the Fourth Proportional to 10,935, 15,090.48 and 5,967

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Solution

The fourth proportional to 10,935, 15,090.48 and 5,967 is: 8,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935 : 15,090.48 = 5,967 : x
  2. Step 2: Convert to fraction form
    10,935/15,090.48 = 5,967/x
  3. Step 3: Cross multiply
    10,935x = 15,090.48 × 5,967
  4. Step 4: Simplify right side
    10,935x = 90,044,894.16
  5. Step 5: Solve for x
    x = 90,044,894.16/10,935
  6. Step 6: Final answer
    x = 8,234.56

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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.