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Finding the Fourth Proportional to 8,209.77, 12,315.02 and 3,012.81

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Solution

The fourth proportional to 8,209.77, 12,315.02 and 3,012.81 is: 4,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.77 : 12,315.02 = 3,012.81 : x
  2. Step 2: Convert to fraction form
    8,209.77/12,315.02 = 3,012.81/x
  3. Step 3: Cross multiply
    8,209.77x = 12,315.02 × 3,012.81
  4. Step 4: Simplify right side
    8,209.77x = 37,102,815.41
  5. Step 5: Solve for x
    x = 37,102,815.41/8,209.77
  6. Step 6: Final answer
    x = 4,519.35

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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.