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Finding the Fourth Proportional to 13,068, 18,008.64 and 8,344.08

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Solution

The fourth proportional to 13,068, 18,008.64 and 8,344.08 is: 11,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,068 : 18,008.64 = 8,344.08 : x
  2. Step 2: Convert to fraction form
    13,068/18,008.64 = 8,344.08/x
  3. Step 3: Cross multiply
    13,068x = 18,008.64 × 8,344.08
  4. Step 4: Simplify right side
    13,068x = 150,265,532.85
  5. Step 5: Solve for x
    x = 150,265,532.85/13,068
  6. Step 6: Final answer
    x = 11,498.74

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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.