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Finding the Fourth Proportional to 12,784.60, 17,642.08 and 7,195.96

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Solution

The fourth proportional to 12,784.60, 17,642.08 and 7,195.96 is: 9,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.60 : 17,642.08 = 7,195.96 : x
  2. Step 2: Convert to fraction form
    12,784.60/17,642.08 = 7,195.96/x
  3. Step 3: Cross multiply
    12,784.60x = 17,642.08 × 7,195.96
  4. Step 4: Simplify right side
    12,784.60x = 126,951,702.00
  5. Step 5: Solve for x
    x = 126,951,702.00/12,784.60
  6. Step 6: Final answer
    x = 9,930.05

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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.