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Finding the Fourth Proportional to 8,047.70, 11,278.30 and 8,047.70

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Solution

The fourth proportional to 8,047.70, 11,278.30 and 8,047.70 is: 11,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.70 : 11,278.30 = 8,047.70 : x
  2. Step 2: Convert to fraction form
    8,047.70/11,278.30 = 8,047.70/x
  3. Step 3: Cross multiply
    8,047.70x = 11,278.30 × 8,047.70
  4. Step 4: Simplify right side
    8,047.70x = 90,764,374.91
  5. Step 5: Solve for x
    x = 90,764,374.91/8,047.70
  6. Step 6: Final answer
    x = 11,278.30

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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 (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.