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Finding the Fourth Proportional to 21,795.82, 32,652.48 and 12,884.47

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Solution

The fourth proportional to 21,795.82, 32,652.48 and 12,884.47 is: 19,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,795.82 : 32,652.48 = 12,884.47 : x
  2. Step 2: Convert to fraction form
    21,795.82/32,652.48 = 12,884.47/x
  3. Step 3: Cross multiply
    21,795.82x = 32,652.48 × 12,884.47
  4. Step 4: Simplify right side
    21,795.82x = 420,709,898.99
  5. Step 5: Solve for x
    x = 420,709,898.99/21,795.82
  6. Step 6: Final answer
    x = 19,302.32

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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.