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Finding the Fourth Proportional to 11,855.52, 17,784 and 7,267.68

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Solution

The fourth proportional to 11,855.52, 17,784 and 7,267.68 is: 10,901.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.52 : 17,784 = 7,267.68 : x
  2. Step 2: Convert to fraction form
    11,855.52/17,784 = 7,267.68/x
  3. Step 3: Cross multiply
    11,855.52x = 17,784 × 7,267.68
  4. Step 4: Simplify right side
    11,855.52x = 129,248,421.12
  5. Step 5: Solve for x
    x = 129,248,421.12/11,855.52
  6. Step 6: Final answer
    x = 10,901.96

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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.