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Finding the Fourth Proportional to 8,313.68, 12,454.52 and 5,194.91

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Solution

The fourth proportional to 8,313.68, 12,454.52 and 5,194.91 is: 7,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.68 : 12,454.52 = 5,194.91 : x
  2. Step 2: Convert to fraction form
    8,313.68/12,454.52 = 5,194.91/x
  3. Step 3: Cross multiply
    8,313.68x = 12,454.52 × 5,194.91
  4. Step 4: Simplify right side
    8,313.68x = 64,700,022.25
  5. Step 5: Solve for x
    x = 64,700,022.25/8,313.68
  6. Step 6: Final answer
    x = 7,782.36

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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.