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Finding the Fourth Proportional to 8,190.77, 12,282.74 and 4,032.74

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Solution

The fourth proportional to 8,190.77, 12,282.74 and 4,032.74 is: 6,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.77 : 12,282.74 = 4,032.74 : x
  2. Step 2: Convert to fraction form
    8,190.77/12,282.74 = 4,032.74/x
  3. Step 3: Cross multiply
    8,190.77x = 12,282.74 × 4,032.74
  4. Step 4: Simplify right side
    8,190.77x = 49,533,122.57
  5. Step 5: Solve for x
    x = 49,533,122.57/8,190.77
  6. Step 6: Final answer
    x = 6,047.43

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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.