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Finding the Fourth Proportional to 20,785.48, 28,663.48 and 12,826.02

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Solution

The fourth proportional to 20,785.48, 28,663.48 and 12,826.02 is: 17,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,785.48 : 28,663.48 = 12,826.02 : x
  2. Step 2: Convert to fraction form
    20,785.48/28,663.48 = 12,826.02/x
  3. Step 3: Cross multiply
    20,785.48x = 28,663.48 × 12,826.02
  4. Step 4: Simplify right side
    20,785.48x = 367,638,367.75
  5. Step 5: Solve for x
    x = 367,638,367.75/20,785.48
  6. Step 6: Final answer
    x = 17,687.27

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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.