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Finding the Fourth Proportional to 20,879.52, 31,323.68 and 7,732

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Solution

The fourth proportional to 20,879.52, 31,323.68 and 7,732 is: 11,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,879.52 : 31,323.68 = 7,732 : x
  2. Step 2: Convert to fraction form
    20,879.52/31,323.68 = 7,732/x
  3. Step 3: Cross multiply
    20,879.52x = 31,323.68 × 7,732
  4. Step 4: Simplify right side
    20,879.52x = 242,194,693.76
  5. Step 5: Solve for x
    x = 242,194,693.76/20,879.52
  6. Step 6: Final answer
    x = 11,599.63

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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.