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Finding the Fourth Proportional to 20,928, 28,887.12 and 13,476

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Solution

The fourth proportional to 20,928, 28,887.12 and 13,476 is: 18,601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,928 : 28,887.12 = 13,476 : x
  2. Step 2: Convert to fraction form
    20,928/28,887.12 = 13,476/x
  3. Step 3: Cross multiply
    20,928x = 28,887.12 × 13,476
  4. Step 4: Simplify right side
    20,928x = 389,282,829.12
  5. Step 5: Solve for x
    x = 389,282,829.12/20,928
  6. Step 6: Final answer
    x = 18,601.05

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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.