Home / 5,219.47-7,829.66-2,099.35

Finding the Fourth Proportional to 5,219.47, 7,829.66 and 2,099.35

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Solution

The fourth proportional to 5,219.47, 7,829.66 and 2,099.35 is: 3,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.47 : 7,829.66 = 2,099.35 : x
  2. Step 2: Convert to fraction form
    5,219.47/7,829.66 = 2,099.35/x
  3. Step 3: Cross multiply
    5,219.47x = 7,829.66 × 2,099.35
  4. Step 4: Simplify right side
    5,219.47x = 16,437,211.76
  5. Step 5: Solve for x
    x = 16,437,211.76/5,219.47
  6. Step 6: Final answer
    x = 3,149.21

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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.