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Finding the Fourth Proportional to 13,771.46, 20,780.28 and 13,771.46

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Solution

The fourth proportional to 13,771.46, 20,780.28 and 13,771.46 is: 20,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.46 : 20,780.28 = 13,771.46 : x
  2. Step 2: Convert to fraction form
    13,771.46/20,780.28 = 13,771.46/x
  3. Step 3: Cross multiply
    13,771.46x = 20,780.28 × 13,771.46
  4. Step 4: Simplify right side
    13,771.46x = 286,174,725.95
  5. Step 5: Solve for x
    x = 286,174,725.95/13,771.46
  6. Step 6: Final answer
    x = 20,780.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.