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Finding the Fourth Proportional to 8,825, 12,090.42 and 8,492.90

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Solution

The fourth proportional to 8,825, 12,090.42 and 8,492.90 is: 11,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825 : 12,090.42 = 8,492.90 : x
  2. Step 2: Convert to fraction form
    8,825/12,090.42 = 8,492.90/x
  3. Step 3: Cross multiply
    8,825x = 12,090.42 × 8,492.90
  4. Step 4: Simplify right side
    8,825x = 102,682,728.02
  5. Step 5: Solve for x
    x = 102,682,728.02/8,825
  6. Step 6: Final answer
    x = 11,635.44

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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.