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Finding the Fourth Proportional to 5,457.92, 8,198.22 and 5,312.12

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Solution

The fourth proportional to 5,457.92, 8,198.22 and 5,312.12 is: 7,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.92 : 8,198.22 = 5,312.12 : x
  2. Step 2: Convert to fraction form
    5,457.92/8,198.22 = 5,312.12/x
  3. Step 3: Cross multiply
    5,457.92x = 8,198.22 × 5,312.12
  4. Step 4: Simplify right side
    5,457.92x = 43,549,928.43
  5. Step 5: Solve for x
    x = 43,549,928.43/5,457.92
  6. Step 6: Final answer
    x = 7,979.22

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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.