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Finding the Fourth Proportional to 5,099.81, 7,650.14 and 2,178.14

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Solution

The fourth proportional to 5,099.81, 7,650.14 and 2,178.14 is: 3,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.81 : 7,650.14 = 2,178.14 : x
  2. Step 2: Convert to fraction form
    5,099.81/7,650.14 = 2,178.14/x
  3. Step 3: Cross multiply
    5,099.81x = 7,650.14 × 2,178.14
  4. Step 4: Simplify right side
    5,099.81x = 16,663,026.80
  5. Step 5: Solve for x
    x = 16,663,026.80/5,099.81
  6. Step 6: Final answer
    x = 3,267.39

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1.5x scale

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.