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Finding the Fourth Proportional to 8,426.47, 11,627.74 and 8,143.38

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Solution

The fourth proportional to 8,426.47, 11,627.74 and 8,143.38 is: 11,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.47 : 11,627.74 = 8,143.38 : x
  2. Step 2: Convert to fraction form
    8,426.47/11,627.74 = 8,143.38/x
  3. Step 3: Cross multiply
    8,426.47x = 11,627.74 × 8,143.38
  4. Step 4: Simplify right side
    8,426.47x = 94,689,105.36
  5. Step 5: Solve for x
    x = 94,689,105.36/8,426.47
  6. Step 6: Final answer
    x = 11,237.10

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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.