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Finding the Fourth Proportional to 13,068, 18,033.84 and 7,180

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Solution

The fourth proportional to 13,068, 18,033.84 and 7,180 is: 9,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,068 : 18,033.84 = 7,180 : x
  2. Step 2: Convert to fraction form
    13,068/18,033.84 = 7,180/x
  3. Step 3: Cross multiply
    13,068x = 18,033.84 × 7,180
  4. Step 4: Simplify right side
    13,068x = 129,482,971.20
  5. Step 5: Solve for x
    x = 129,482,971.20/13,068
  6. Step 6: Final answer
    x = 9,908.40

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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.