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Finding the Fourth Proportional to 7,932.48, 11,892 and 4,848

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Solution

The fourth proportional to 7,932.48, 11,892 and 4,848 is: 7,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.48 : 11,892 = 4,848 : x
  2. Step 2: Convert to fraction form
    7,932.48/11,892 = 4,848/x
  3. Step 3: Cross multiply
    7,932.48x = 11,892 × 4,848
  4. Step 4: Simplify right side
    7,932.48x = 57,652,416
  5. Step 5: Solve for x
    x = 57,652,416/7,932.48
  6. Step 6: Final answer
    x = 7,267.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.