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Finding the Fourth Proportional to 13,167.63, 18,167.90 and 7,863.75

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Solution

The fourth proportional to 13,167.63, 18,167.90 and 7,863.75 is: 10,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,167.63 : 18,167.90 = 7,863.75 : x
  2. Step 2: Convert to fraction form
    13,167.63/18,167.90 = 7,863.75/x
  3. Step 3: Cross multiply
    13,167.63x = 18,167.90 × 7,863.75
  4. Step 4: Simplify right side
    13,167.63x = 142,867,784.31
  5. Step 5: Solve for x
    x = 142,867,784.31/13,167.63
  6. Step 6: Final answer
    x = 10,849.92

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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.