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Finding the Fourth Proportional to 8,425.49, 11,626.38 and 8,142.39

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Solution

The fourth proportional to 8,425.49, 11,626.38 and 8,142.39 is: 11,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.49 : 11,626.38 = 8,142.39 : x
  2. Step 2: Convert to fraction form
    8,425.49/11,626.38 = 8,142.39/x
  3. Step 3: Cross multiply
    8,425.49x = 11,626.38 × 8,142.39
  4. Step 4: Simplify right side
    8,425.49x = 94,666,520.25
  5. Step 5: Solve for x
    x = 94,666,520.25/8,425.49
  6. Step 6: Final answer
    x = 11,235.74

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Half scale
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Double scale
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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.