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Finding the Fourth Proportional to 20,413, 28,172.10 and 12,961

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Solution

The fourth proportional to 20,413, 28,172.10 and 12,961 is: 17,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413 : 28,172.10 = 12,961 : x
  2. Step 2: Convert to fraction form
    20,413/28,172.10 = 12,961/x
  3. Step 3: Cross multiply
    20,413x = 28,172.10 × 12,961
  4. Step 4: Simplify right side
    20,413x = 365,138,588.10
  5. Step 5: Solve for x
    x = 365,138,588.10/20,413
  6. Step 6: Final answer
    x = 17,887.55

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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.