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Finding the Fourth Proportional to 20,993.64, 28,969.54 and 13,034.35

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Solution

The fourth proportional to 20,993.64, 28,969.54 and 13,034.35 is: 17,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.64 : 28,969.54 = 13,034.35 : x
  2. Step 2: Convert to fraction form
    20,993.64/28,969.54 = 13,034.35/x
  3. Step 3: Cross multiply
    20,993.64x = 28,969.54 × 13,034.35
  4. Step 4: Simplify right side
    20,993.64x = 377,599,123.70
  5. Step 5: Solve for x
    x = 377,599,123.70/20,993.64
  6. Step 6: Final answer
    x = 17,986.36

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1.5x scale

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.