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Finding the Fourth Proportional to 8,021.70, 12,031.70 and 2,178.90

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Solution

The fourth proportional to 8,021.70, 12,031.70 and 2,178.90 is: 3,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.70 : 12,031.70 = 2,178.90 : x
  2. Step 2: Convert to fraction form
    8,021.70/12,031.70 = 2,178.90/x
  3. Step 3: Cross multiply
    8,021.70x = 12,031.70 × 2,178.90
  4. Step 4: Simplify right side
    8,021.70x = 26,215,871.13
  5. Step 5: Solve for x
    x = 26,215,871.13/8,021.70
  6. Step 6: Final answer
    x = 3,268.12

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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.