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Finding the Fourth Proportional to 21,357.68, 29,471.60 and 12,405

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Solution

The fourth proportional to 21,357.68, 29,471.60 and 12,405 is: 17,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,357.68 : 29,471.60 = 12,405 : x
  2. Step 2: Convert to fraction form
    21,357.68/29,471.60 = 12,405/x
  3. Step 3: Cross multiply
    21,357.68x = 29,471.60 × 12,405
  4. Step 4: Simplify right side
    21,357.68x = 365,595,198
  5. Step 5: Solve for x
    x = 365,595,198/21,357.68
  6. Step 6: Final answer
    x = 17,117.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.