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Finding the Fourth Proportional to 8,771.12, 12,096.60 and 7,815.32

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Solution

The fourth proportional to 8,771.12, 12,096.60 and 7,815.32 is: 10,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.12 : 12,096.60 = 7,815.32 : x
  2. Step 2: Convert to fraction form
    8,771.12/12,096.60 = 7,815.32/x
  3. Step 3: Cross multiply
    8,771.12x = 12,096.60 × 7,815.32
  4. Step 4: Simplify right side
    8,771.12x = 94,538,799.91
  5. Step 5: Solve for x
    x = 94,538,799.91/8,771.12
  6. Step 6: Final answer
    x = 10,778.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.