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Finding the Fourth Proportional to 5,099.19, 7,649.87 and 1,638.87

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Solution

The fourth proportional to 5,099.19, 7,649.87 and 1,638.87 is: 2,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.19 : 7,649.87 = 1,638.87 : x
  2. Step 2: Convert to fraction form
    5,099.19/7,649.87 = 1,638.87/x
  3. Step 3: Cross multiply
    5,099.19x = 7,649.87 × 1,638.87
  4. Step 4: Simplify right side
    5,099.19x = 12,537,134.25
  5. Step 5: Solve for x
    x = 12,537,134.25/5,099.19
  6. Step 6: Final answer
    x = 2,458.65

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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.