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Finding the Fourth Proportional to 5,509.96, 8,261.83 and 1,811.20

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Solution

The fourth proportional to 5,509.96, 8,261.83 and 1,811.20 is: 2,715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.96 : 8,261.83 = 1,811.20 : x
  2. Step 2: Convert to fraction form
    5,509.96/8,261.83 = 1,811.20/x
  3. Step 3: Cross multiply
    5,509.96x = 8,261.83 × 1,811.20
  4. Step 4: Simplify right side
    5,509.96x = 14,963,826.50
  5. Step 5: Solve for x
    x = 14,963,826.50/5,509.96
  6. Step 6: Final answer
    x = 2,715.78

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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.