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Finding the Fourth Proportional to 7,704.52, 11,549.46 and 2,506.78

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Solution

The fourth proportional to 7,704.52, 11,549.46 and 2,506.78 is: 3,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.52 : 11,549.46 = 2,506.78 : x
  2. Step 2: Convert to fraction form
    7,704.52/11,549.46 = 2,506.78/x
  3. Step 3: Cross multiply
    7,704.52x = 11,549.46 × 2,506.78
  4. Step 4: Simplify right side
    7,704.52x = 28,951,955.34
  5. Step 5: Solve for x
    x = 28,951,955.34/7,704.52
  6. Step 6: Final answer
    x = 3,757.79

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1.5x scale

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.