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Finding the Fourth Proportional to 8,157.65, 11,257.56 and 4,431.65

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Solution

The fourth proportional to 8,157.65, 11,257.56 and 4,431.65 is: 6,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.65 : 11,257.56 = 4,431.65 : x
  2. Step 2: Convert to fraction form
    8,157.65/11,257.56 = 4,431.65/x
  3. Step 3: Cross multiply
    8,157.65x = 11,257.56 × 4,431.65
  4. Step 4: Simplify right side
    8,157.65x = 49,889,509.49
  5. Step 5: Solve for x
    x = 49,889,509.49/8,157.65
  6. Step 6: Final answer
    x = 6,115.68

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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.