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Finding the Fourth Proportional to 5,099.76, 7,644.17 and 1,811.77

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Solution

The fourth proportional to 5,099.76, 7,644.17 and 1,811.77 is: 2,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.76 : 7,644.17 = 1,811.77 : x
  2. Step 2: Convert to fraction form
    5,099.76/7,644.17 = 1,811.77/x
  3. Step 3: Cross multiply
    5,099.76x = 7,644.17 × 1,811.77
  4. Step 4: Simplify right side
    5,099.76x = 13,849,463.30
  5. Step 5: Solve for x
    x = 13,849,463.30/5,099.76
  6. Step 6: Final answer
    x = 2,715.71

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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.