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Finding the Fourth Proportional to 21,615, 32,432.26 and 12,381

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Solution

The fourth proportional to 21,615, 32,432.26 and 12,381 is: 18,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615 : 32,432.26 = 12,381 : x
  2. Step 2: Convert to fraction form
    21,615/32,432.26 = 12,381/x
  3. Step 3: Cross multiply
    21,615x = 32,432.26 × 12,381
  4. Step 4: Simplify right side
    21,615x = 401,543,811.06
  5. Step 5: Solve for x
    x = 401,543,811.06/21,615
  6. Step 6: Final answer
    x = 18,577.09

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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.