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Finding the Fourth Proportional to 5,659, 8,490.66 and 2,196.52

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Solution

The fourth proportional to 5,659, 8,490.66 and 2,196.52 is: 3,295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659 : 8,490.66 = 2,196.52 : x
  2. Step 2: Convert to fraction form
    5,659/8,490.66 = 2,196.52/x
  3. Step 3: Cross multiply
    5,659x = 8,490.66 × 2,196.52
  4. Step 4: Simplify right side
    5,659x = 18,649,904.50
  5. Step 5: Solve for x
    x = 18,649,904.50/5,659
  6. Step 6: Final answer
    x = 3,295.62

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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.