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Finding the Fourth Proportional to 20,056.80, 27,676 and 12,398.88

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Solution

The fourth proportional to 20,056.80, 27,676 and 12,398.88 is: 17,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,056.80 : 27,676 = 12,398.88 : x
  2. Step 2: Convert to fraction form
    20,056.80/27,676 = 12,398.88/x
  3. Step 3: Cross multiply
    20,056.80x = 27,676 × 12,398.88
  4. Step 4: Simplify right side
    20,056.80x = 343,151,402.88
  5. Step 5: Solve for x
    x = 343,151,402.88/20,056.80
  6. Step 6: Final answer
    x = 17,108.98

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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.