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Finding the Fourth Proportional to 13,125.64, 19,701.42 and 8,447.08

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Solution

The fourth proportional to 13,125.64, 19,701.42 and 8,447.08 is: 12,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.64 : 19,701.42 = 8,447.08 : x
  2. Step 2: Convert to fraction form
    13,125.64/19,701.42 = 8,447.08/x
  3. Step 3: Cross multiply
    13,125.64x = 19,701.42 × 8,447.08
  4. Step 4: Simplify right side
    13,125.64x = 166,419,470.85
  5. Step 5: Solve for x
    x = 166,419,470.85/13,125.64
  6. Step 6: Final answer
    x = 12,678.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.