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Finding the Fourth Proportional to 20,886, 28,829.16 and 13,434

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Solution

The fourth proportional to 20,886, 28,829.16 and 13,434 is: 18,543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,886 : 28,829.16 = 13,434 : x
  2. Step 2: Convert to fraction form
    20,886/28,829.16 = 13,434/x
  3. Step 3: Cross multiply
    20,886x = 28,829.16 × 13,434
  4. Step 4: Simplify right side
    20,886x = 387,290,935.44
  5. Step 5: Solve for x
    x = 387,290,935.44/20,886
  6. Step 6: Final answer
    x = 18,543.09

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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.