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Finding the Fourth Proportional to 20,856.64, 28,783.20 and 12,903

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Solution

The fourth proportional to 20,856.64, 28,783.20 and 12,903 is: 17,806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,856.64 : 28,783.20 = 12,903 : x
  2. Step 2: Convert to fraction form
    20,856.64/28,783.20 = 12,903/x
  3. Step 3: Cross multiply
    20,856.64x = 28,783.20 × 12,903
  4. Step 4: Simplify right side
    20,856.64x = 371,389,629.60
  5. Step 5: Solve for x
    x = 371,389,629.60/20,856.64
  6. Step 6: Final answer
    x = 17,806.78

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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.