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Finding the Fourth Proportional to 5,811.90, 8,718.60 and 2,113.62

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Solution

The fourth proportional to 5,811.90, 8,718.60 and 2,113.62 is: 3,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.90 : 8,718.60 = 2,113.62 : x
  2. Step 2: Convert to fraction form
    5,811.90/8,718.60 = 2,113.62/x
  3. Step 3: Cross multiply
    5,811.90x = 8,718.60 × 2,113.62
  4. Step 4: Simplify right side
    5,811.90x = 18,427,807.33
  5. Step 5: Solve for x
    x = 18,427,807.33/5,811.90
  6. Step 6: Final answer
    x = 3,170.70

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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.