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Finding the Fourth Proportional to 7,874.96, 11,815.31 and 3,660.16

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Solution

The fourth proportional to 7,874.96, 11,815.31 and 3,660.16 is: 5,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.96 : 11,815.31 = 3,660.16 : x
  2. Step 2: Convert to fraction form
    7,874.96/11,815.31 = 3,660.16/x
  3. Step 3: Cross multiply
    7,874.96x = 11,815.31 × 3,660.16
  4. Step 4: Simplify right side
    7,874.96x = 43,245,925.05
  5. Step 5: Solve for x
    x = 43,245,925.05/7,874.96
  6. Step 6: Final answer
    x = 5,491.57

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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.