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Finding the Fourth Proportional to 7,800.34, 11,704.56 and 3,639.16

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Solution

The fourth proportional to 7,800.34, 11,704.56 and 3,639.16 is: 5,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.34 : 11,704.56 = 3,639.16 : x
  2. Step 2: Convert to fraction form
    7,800.34/11,704.56 = 3,639.16/x
  3. Step 3: Cross multiply
    7,800.34x = 11,704.56 × 3,639.16
  4. Step 4: Simplify right side
    7,800.34x = 42,594,766.57
  5. Step 5: Solve for x
    x = 42,594,766.57/7,800.34
  6. Step 6: Final answer
    x = 5,460.63

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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.