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Finding the Fourth Proportional to 8,619.84, 12,919.20 and 3,684

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Solution

The fourth proportional to 8,619.84, 12,919.20 and 3,684 is: 5,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,619.84 : 12,919.20 = 3,684 : x
  2. Step 2: Convert to fraction form
    8,619.84/12,919.20 = 3,684/x
  3. Step 3: Cross multiply
    8,619.84x = 12,919.20 × 3,684
  4. Step 4: Simplify right side
    8,619.84x = 47,594,332.80
  5. Step 5: Solve for x
    x = 47,594,332.80/8,619.84
  6. Step 6: Final answer
    x = 5,521.49

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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.