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Finding the Fourth Proportional to 8,553.21, 11,758.12 and 7,353.78

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Solution

The fourth proportional to 8,553.21, 11,758.12 and 7,353.78 is: 10,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.21 : 11,758.12 = 7,353.78 : x
  2. Step 2: Convert to fraction form
    8,553.21/11,758.12 = 7,353.78/x
  3. Step 3: Cross multiply
    8,553.21x = 11,758.12 × 7,353.78
  4. Step 4: Simplify right side
    8,553.21x = 86,466,565.22
  5. Step 5: Solve for x
    x = 86,466,565.22/8,553.21
  6. Step 6: Final answer
    x = 10,109.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.