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Finding the Fourth Proportional to 8,003.76, 11,947.87 and 7,644.30

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Solution

The fourth proportional to 8,003.76, 11,947.87 and 7,644.30 is: 11,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.76 : 11,947.87 = 7,644.30 : x
  2. Step 2: Convert to fraction form
    8,003.76/11,947.87 = 7,644.30/x
  3. Step 3: Cross multiply
    8,003.76x = 11,947.87 × 7,644.30
  4. Step 4: Simplify right side
    8,003.76x = 91,333,102.64
  5. Step 5: Solve for x
    x = 91,333,102.64/8,003.76
  6. Step 6: Final answer
    x = 11,411.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.