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Finding the Fourth Proportional to 8,216, 12,326.88 and 3,599.36

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Solution

The fourth proportional to 8,216, 12,326.88 and 3,599.36 is: 5,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216 : 12,326.88 = 3,599.36 : x
  2. Step 2: Convert to fraction form
    8,216/12,326.88 = 3,599.36/x
  3. Step 3: Cross multiply
    8,216x = 12,326.88 × 3,599.36
  4. Step 4: Simplify right side
    8,216x = 44,368,878.80
  5. Step 5: Solve for x
    x = 44,368,878.80/8,216
  6. Step 6: Final answer
    x = 5,400.30

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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.