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Finding the Fourth Proportional to 8,224.18, 12,341.54 and 8,157.29

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Solution

The fourth proportional to 8,224.18, 12,341.54 and 8,157.29 is: 12,241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.18 : 12,341.54 = 8,157.29 : x
  2. Step 2: Convert to fraction form
    8,224.18/12,341.54 = 8,157.29/x
  3. Step 3: Cross multiply
    8,224.18x = 12,341.54 × 8,157.29
  4. Step 4: Simplify right side
    8,224.18x = 100,673,459.12
  5. Step 5: Solve for x
    x = 100,673,459.12/8,224.18
  6. Step 6: Final answer
    x = 12,241.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.