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Finding the Fourth Proportional to 8,165.68, 12,240.65 and 5,194.87

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Solution

The fourth proportional to 8,165.68, 12,240.65 and 5,194.87 is: 7,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.68 : 12,240.65 = 5,194.87 : x
  2. Step 2: Convert to fraction form
    8,165.68/12,240.65 = 5,194.87/x
  3. Step 3: Cross multiply
    8,165.68x = 12,240.65 × 5,194.87
  4. Step 4: Simplify right side
    8,165.68x = 63,588,567.85
  5. Step 5: Solve for x
    x = 63,588,567.85/8,165.68
  6. Step 6: Final answer
    x = 7,787.30

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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.