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Finding the Fourth Proportional to 8,577, 12,771.78 and 8,261.73

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Solution

The fourth proportional to 8,577, 12,771.78 and 8,261.73 is: 12,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577 : 12,771.78 = 8,261.73 : x
  2. Step 2: Convert to fraction form
    8,577/12,771.78 = 8,261.73/x
  3. Step 3: Cross multiply
    8,577x = 12,771.78 × 8,261.73
  4. Step 4: Simplify right side
    8,577x = 105,516,997.98
  5. Step 5: Solve for x
    x = 105,516,997.98/8,577
  6. Step 6: Final answer
    x = 12,302.32

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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.