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Finding the Fourth Proportional to 13,200, 18,216 and 7,895.04

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Solution

The fourth proportional to 13,200, 18,216 and 7,895.04 is: 10,895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200 : 18,216 = 7,895.04 : x
  2. Step 2: Convert to fraction form
    13,200/18,216 = 7,895.04/x
  3. Step 3: Cross multiply
    13,200x = 18,216 × 7,895.04
  4. Step 4: Simplify right side
    13,200x = 143,816,048.64
  5. Step 5: Solve for x
    x = 143,816,048.64/13,200
  6. Step 6: Final answer
    x = 10,895.16

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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.