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Finding the Fourth Proportional to 20,880, 31,319.39 and 7,732.08

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Solution

The fourth proportional to 20,880, 31,319.39 and 7,732.08 is: 11,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,880 : 31,319.39 = 7,732.08 : x
  2. Step 2: Convert to fraction form
    20,880/31,319.39 = 7,732.08/x
  3. Step 3: Cross multiply
    20,880x = 31,319.39 × 7,732.08
  4. Step 4: Simplify right side
    20,880x = 242,164,048.36
  5. Step 5: Solve for x
    x = 242,164,048.36/20,880
  6. Step 6: Final answer
    x = 11,597.90

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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.