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Finding the Fourth Proportional to 20,575, 28,399.98 and 13,123

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Solution

The fourth proportional to 20,575, 28,399.98 and 13,123 is: 18,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575 : 28,399.98 = 13,123 : x
  2. Step 2: Convert to fraction form
    20,575/28,399.98 = 13,123/x
  3. Step 3: Cross multiply
    20,575x = 28,399.98 × 13,123
  4. Step 4: Simplify right side
    20,575x = 372,692,937.54
  5. Step 5: Solve for x
    x = 372,692,937.54/20,575
  6. Step 6: Final answer
    x = 18,113.87

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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.