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Finding the Fourth Proportional to 20,512.64, 30,768.96 and 7,365.80

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Solution

The fourth proportional to 20,512.64, 30,768.96 and 7,365.80 is: 11,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.64 : 30,768.96 = 7,365.80 : x
  2. Step 2: Convert to fraction form
    20,512.64/30,768.96 = 7,365.80/x
  3. Step 3: Cross multiply
    20,512.64x = 30,768.96 × 7,365.80
  4. Step 4: Simplify right side
    20,512.64x = 226,638,005.57
  5. Step 5: Solve for x
    x = 226,638,005.57/20,512.64
  6. Step 6: Final answer
    x = 11,048.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.