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Finding the Fourth Proportional to 12,079, 18,117.60 and 4,682.80

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Solution

The fourth proportional to 12,079, 18,117.60 and 4,682.80 is: 7,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079 : 18,117.60 = 4,682.80 : x
  2. Step 2: Convert to fraction form
    12,079/18,117.60 = 4,682.80/x
  3. Step 3: Cross multiply
    12,079x = 18,117.60 × 4,682.80
  4. Step 4: Simplify right side
    12,079x = 84,841,097.28
  5. Step 5: Solve for x
    x = 84,841,097.28/12,079
  6. Step 6: Final answer
    x = 7,023.85

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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.