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Finding the Fourth Proportional to 20,322.74, 30,456.40 and 12,428

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Solution

The fourth proportional to 20,322.74, 30,456.40 and 12,428 is: 18,625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322.74 : 30,456.40 = 12,428 : x
  2. Step 2: Convert to fraction form
    20,322.74/30,456.40 = 12,428/x
  3. Step 3: Cross multiply
    20,322.74x = 30,456.40 × 12,428
  4. Step 4: Simplify right side
    20,322.74x = 378,512,139.20
  5. Step 5: Solve for x
    x = 378,512,139.20/20,322.74
  6. Step 6: Final answer
    x = 18,625.05

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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.