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Finding the Fourth Proportional to 8,572.80, 11,820.78 and 5,922.12

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Solution

The fourth proportional to 8,572.80, 11,820.78 and 5,922.12 is: 8,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.80 : 11,820.78 = 5,922.12 : x
  2. Step 2: Convert to fraction form
    8,572.80/11,820.78 = 5,922.12/x
  3. Step 3: Cross multiply
    8,572.80x = 11,820.78 × 5,922.12
  4. Step 4: Simplify right side
    8,572.80x = 70,004,077.65
  5. Step 5: Solve for x
    x = 70,004,077.65/8,572.80
  6. Step 6: Final answer
    x = 8,165.84

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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.