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Finding the Fourth Proportional to 13,184.44, 18,192 and 7,877.32

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Solution

The fourth proportional to 13,184.44, 18,192 and 7,877.32 is: 10,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.44 : 18,192 = 7,877.32 : x
  2. Step 2: Convert to fraction form
    13,184.44/18,192 = 7,877.32/x
  3. Step 3: Cross multiply
    13,184.44x = 18,192 × 7,877.32
  4. Step 4: Simplify right side
    13,184.44x = 143,304,205.44
  5. Step 5: Solve for x
    x = 143,304,205.44/13,184.44
  6. Step 6: Final answer
    x = 10,869.19

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1.5x scale

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.