Home / 3,011.25-4,516.53-820.15

Finding the Fourth Proportional to 3,011.25, 4,516.53 and 820.15

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Solution

The fourth proportional to 3,011.25, 4,516.53 and 820.15 is: 1,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.25 : 4,516.53 = 820.15 : x
  2. Step 2: Convert to fraction form
    3,011.25/4,516.53 = 820.15/x
  3. Step 3: Cross multiply
    3,011.25x = 4,516.53 × 820.15
  4. Step 4: Simplify right side
    3,011.25x = 3,704,237.34
  5. Step 5: Solve for x
    x = 3,704,237.34/3,011.25
  6. Step 6: Final answer
    x = 1,230.13

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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.