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Finding the Fourth Proportional to 8,389.92, 11,558.06 and 5,867.30

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Solution

The fourth proportional to 8,389.92, 11,558.06 and 5,867.30 is: 8,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.92 : 11,558.06 = 5,867.30 : x
  2. Step 2: Convert to fraction form
    8,389.92/11,558.06 = 5,867.30/x
  3. Step 3: Cross multiply
    8,389.92x = 11,558.06 × 5,867.30
  4. Step 4: Simplify right side
    8,389.92x = 67,814,605.44
  5. Step 5: Solve for x
    x = 67,814,605.44/8,389.92
  6. Step 6: Final answer
    x = 8,082.87

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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.