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Finding the Fourth Proportional to 28,512, 42,785.82 and 13,722.48

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Solution

The fourth proportional to 28,512, 42,785.82 and 13,722.48 is: 20,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,512 : 42,785.82 = 13,722.48 : x
  2. Step 2: Convert to fraction form
    28,512/42,785.82 = 13,722.48/x
  3. Step 3: Cross multiply
    28,512x = 42,785.82 × 13,722.48
  4. Step 4: Simplify right side
    28,512x = 587,127,559.23
  5. Step 5: Solve for x
    x = 587,127,559.23/28,512
  6. Step 6: Final answer
    x = 20,592.30

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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.