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Finding the Fourth Proportional to 7,862.55, 11,793.83 and 3,184.80

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Solution

The fourth proportional to 7,862.55, 11,793.83 and 3,184.80 is: 4,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.55 : 11,793.83 = 3,184.80 : x
  2. Step 2: Convert to fraction form
    7,862.55/11,793.83 = 3,184.80/x
  3. Step 3: Cross multiply
    7,862.55x = 11,793.83 × 3,184.80
  4. Step 4: Simplify right side
    7,862.55x = 37,560,973.86
  5. Step 5: Solve for x
    x = 37,560,973.86/7,862.55
  6. Step 6: Final answer
    x = 4,777.20

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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.