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Finding the Fourth Proportional to 8,216, 11,338.08 and 4,490

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Solution

The fourth proportional to 8,216, 11,338.08 and 4,490 is: 6,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216 : 11,338.08 = 4,490 : x
  2. Step 2: Convert to fraction form
    8,216/11,338.08 = 4,490/x
  3. Step 3: Cross multiply
    8,216x = 11,338.08 × 4,490
  4. Step 4: Simplify right side
    8,216x = 50,907,979.20
  5. Step 5: Solve for x
    x = 50,907,979.20/8,216
  6. Step 6: Final answer
    x = 6,196.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.