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Finding the Fourth Proportional to 8,259.96, 12,316.44 and 8,157.96

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Solution

The fourth proportional to 8,259.96, 12,316.44 and 8,157.96 is: 12,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.96 : 12,316.44 = 8,157.96 : x
  2. Step 2: Convert to fraction form
    8,259.96/12,316.44 = 8,157.96/x
  3. Step 3: Cross multiply
    8,259.96x = 12,316.44 × 8,157.96
  4. Step 4: Simplify right side
    8,259.96x = 100,477,024.86
  5. Step 5: Solve for x
    x = 100,477,024.86/8,259.96
  6. Step 6: Final answer
    x = 12,164.35

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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.