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Finding the Fourth Proportional to 7,771.02, 11,646.12 and 4,255.72

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Solution

The fourth proportional to 7,771.02, 11,646.12 and 4,255.72 is: 6,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.02 : 11,646.12 = 4,255.72 : x
  2. Step 2: Convert to fraction form
    7,771.02/11,646.12 = 4,255.72/x
  3. Step 3: Cross multiply
    7,771.02x = 11,646.12 × 4,255.72
  4. Step 4: Simplify right side
    7,771.02x = 49,562,625.81
  5. Step 5: Solve for x
    x = 49,562,625.81/7,771.02
  6. Step 6: Final answer
    x = 6,377.88

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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.