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Finding the Fourth Proportional to 21,855.08, 32,774.58 and 7,811.31

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Solution

The fourth proportional to 21,855.08, 32,774.58 and 7,811.31 is: 11,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,855.08 : 32,774.58 = 7,811.31 : x
  2. Step 2: Convert to fraction form
    21,855.08/32,774.58 = 7,811.31/x
  3. Step 3: Cross multiply
    21,855.08x = 32,774.58 × 7,811.31
  4. Step 4: Simplify right side
    21,855.08x = 256,012,404.50
  5. Step 5: Solve for x
    x = 256,012,404.50/21,855.08
  6. Step 6: Final answer
    x = 11,714.09

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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.