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Finding the Fourth Proportional to 8,133.75, 12,200.67 and 1,977.75

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Solution

The fourth proportional to 8,133.75, 12,200.67 and 1,977.75 is: 2,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.75 : 12,200.67 = 1,977.75 : x
  2. Step 2: Convert to fraction form
    8,133.75/12,200.67 = 1,977.75/x
  3. Step 3: Cross multiply
    8,133.75x = 12,200.67 × 1,977.75
  4. Step 4: Simplify right side
    8,133.75x = 24,129,875.09
  5. Step 5: Solve for x
    x = 24,129,875.09/8,133.75
  6. Step 6: Final answer
    x = 2,966.64

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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.