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Finding the Fourth Proportional to 8,157.75, 12,237.51 and 2,609.79

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Solution

The fourth proportional to 8,157.75, 12,237.51 and 2,609.79 is: 3,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.75 : 12,237.51 = 2,609.79 : x
  2. Step 2: Convert to fraction form
    8,157.75/12,237.51 = 2,609.79/x
  3. Step 3: Cross multiply
    8,157.75x = 12,237.51 × 2,609.79
  4. Step 4: Simplify right side
    8,157.75x = 31,937,331.22
  5. Step 5: Solve for x
    x = 31,937,331.22/8,157.75
  6. Step 6: Final answer
    x = 3,914.97

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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.