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Finding the Fourth Proportional to 7,702.56, 11,554.74 and 2,771.78

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Solution

The fourth proportional to 7,702.56, 11,554.74 and 2,771.78 is: 4,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.56 : 11,554.74 = 2,771.78 : x
  2. Step 2: Convert to fraction form
    7,702.56/11,554.74 = 2,771.78/x
  3. Step 3: Cross multiply
    7,702.56x = 11,554.74 × 2,771.78
  4. Step 4: Simplify right side
    7,702.56x = 32,027,197.24
  5. Step 5: Solve for x
    x = 32,027,197.24/7,702.56
  6. Step 6: Final answer
    x = 4,157.99

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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.