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Finding the Fourth Proportional to 8,384.70, 12,578.66 and 3,190.16

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Solution

The fourth proportional to 8,384.70, 12,578.66 and 3,190.16 is: 4,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.70 : 12,578.66 = 3,190.16 : x
  2. Step 2: Convert to fraction form
    8,384.70/12,578.66 = 3,190.16/x
  3. Step 3: Cross multiply
    8,384.70x = 12,578.66 × 3,190.16
  4. Step 4: Simplify right side
    8,384.70x = 40,127,937.99
  5. Step 5: Solve for x
    x = 40,127,937.99/8,384.70
  6. Step 6: Final answer
    x = 4,785.85

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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.