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Finding the Fourth Proportional to 20,668.87, 30,984.54 and 7,511.91

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Solution

The fourth proportional to 20,668.87, 30,984.54 and 7,511.91 is: 11,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668.87 : 30,984.54 = 7,511.91 : x
  2. Step 2: Convert to fraction form
    20,668.87/30,984.54 = 7,511.91/x
  3. Step 3: Cross multiply
    20,668.87x = 30,984.54 × 7,511.91
  4. Step 4: Simplify right side
    20,668.87x = 232,753,075.87
  5. Step 5: Solve for x
    x = 232,753,075.87/20,668.87
  6. Step 6: Final answer
    x = 11,261.05

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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.