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Finding the Fourth Proportional to 13,097.52, 18,076.92 and 8,381.64

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Solution

The fourth proportional to 13,097.52, 18,076.92 and 8,381.64 is: 11,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.52 : 18,076.92 = 8,381.64 : x
  2. Step 2: Convert to fraction form
    13,097.52/18,076.92 = 8,381.64/x
  3. Step 3: Cross multiply
    13,097.52x = 18,076.92 × 8,381.64
  4. Step 4: Simplify right side
    13,097.52x = 151,514,235.75
  5. Step 5: Solve for x
    x = 151,514,235.75/13,097.52
  6. Step 6: Final answer
    x = 11,568.16

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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.