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Finding the Fourth Proportional to 5,718.77, 8,581.09 and 4,331.64

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Solution

The fourth proportional to 5,718.77, 8,581.09 and 4,331.64 is: 6,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.77 : 8,581.09 = 4,331.64 : x
  2. Step 2: Convert to fraction form
    5,718.77/8,581.09 = 4,331.64/x
  3. Step 3: Cross multiply
    5,718.77x = 8,581.09 × 4,331.64
  4. Step 4: Simplify right side
    5,718.77x = 37,170,181.86
  5. Step 5: Solve for x
    x = 37,170,181.86/5,718.77
  6. Step 6: Final answer
    x = 6,499.69

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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.