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Finding the Fourth Proportional to 12,456.40, 18,706.20 and 8,784.40

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Solution

The fourth proportional to 12,456.40, 18,706.20 and 8,784.40 is: 13,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.40 : 18,706.20 = 8,784.40 : x
  2. Step 2: Convert to fraction form
    12,456.40/18,706.20 = 8,784.40/x
  3. Step 3: Cross multiply
    12,456.40x = 18,706.20 × 8,784.40
  4. Step 4: Simplify right side
    12,456.40x = 164,322,743.28
  5. Step 5: Solve for x
    x = 164,322,743.28/12,456.40
  6. Step 6: Final answer
    x = 13,191.83

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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.