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Finding the Fourth Proportional to 8,771.12, 13,158.24 and 4,154

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Solution

The fourth proportional to 8,771.12, 13,158.24 and 4,154 is: 6,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.12 : 13,158.24 = 4,154 : x
  2. Step 2: Convert to fraction form
    8,771.12/13,158.24 = 4,154/x
  3. Step 3: Cross multiply
    8,771.12x = 13,158.24 × 4,154
  4. Step 4: Simplify right side
    8,771.12x = 54,659,328.96
  5. Step 5: Solve for x
    x = 54,659,328.96/8,771.12
  6. Step 6: Final answer
    x = 6,231.74

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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.