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Finding the Fourth Proportional to 5,662.80, 8,490.72 and 2,196

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Solution

The fourth proportional to 5,662.80, 8,490.72 and 2,196 is: 3,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.80 : 8,490.72 = 2,196 : x
  2. Step 2: Convert to fraction form
    5,662.80/8,490.72 = 2,196/x
  3. Step 3: Cross multiply
    5,662.80x = 8,490.72 × 2,196
  4. Step 4: Simplify right side
    5,662.80x = 18,645,621.12
  5. Step 5: Solve for x
    x = 18,645,621.12/5,662.80
  6. Step 6: Final answer
    x = 3,292.65

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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.