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Finding the Fourth Proportional to 3,074.83, 4,609.41 and 1,225.50

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Solution

The fourth proportional to 3,074.83, 4,609.41 and 1,225.50 is: 1,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.83 : 4,609.41 = 1,225.50 : x
  2. Step 2: Convert to fraction form
    3,074.83/4,609.41 = 1,225.50/x
  3. Step 3: Cross multiply
    3,074.83x = 4,609.41 × 1,225.50
  4. Step 4: Simplify right side
    3,074.83x = 5,648,831.96
  5. Step 5: Solve for x
    x = 5,648,831.96/3,074.83
  6. Step 6: Final answer
    x = 1,837.12

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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.