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Finding the Fourth Proportional to 13,892.48, 20,848.80 and 8,043.20

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Solution

The fourth proportional to 13,892.48, 20,848.80 and 8,043.20 is: 12,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.48 : 20,848.80 = 8,043.20 : x
  2. Step 2: Convert to fraction form
    13,892.48/20,848.80 = 8,043.20/x
  3. Step 3: Cross multiply
    13,892.48x = 20,848.80 × 8,043.20
  4. Step 4: Simplify right side
    13,892.48x = 167,691,068.16
  5. Step 5: Solve for x
    x = 167,691,068.16/13,892.48
  6. Step 6: Final answer
    x = 12,070.64

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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.