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Finding the Fourth Proportional to 8,187.75, 12,281.76 and 2,031.75

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Solution

The fourth proportional to 8,187.75, 12,281.76 and 2,031.75 is: 3,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.75 : 12,281.76 = 2,031.75 : x
  2. Step 2: Convert to fraction form
    8,187.75/12,281.76 = 2,031.75/x
  3. Step 3: Cross multiply
    8,187.75x = 12,281.76 × 2,031.75
  4. Step 4: Simplify right side
    8,187.75x = 24,953,465.88
  5. Step 5: Solve for x
    x = 24,953,465.88/8,187.75
  6. Step 6: Final answer
    x = 3,047.66

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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.