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Finding the Fourth Proportional to 3,474.81, 5,212.20 and 877.74

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Solution

The fourth proportional to 3,474.81, 5,212.20 and 877.74 is: 1,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.81 : 5,212.20 = 877.74 : x
  2. Step 2: Convert to fraction form
    3,474.81/5,212.20 = 877.74/x
  3. Step 3: Cross multiply
    3,474.81x = 5,212.20 × 877.74
  4. Step 4: Simplify right side
    3,474.81x = 4,574,956.43
  5. Step 5: Solve for x
    x = 4,574,956.43/3,474.81
  6. Step 6: Final answer
    x = 1,316.61

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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.