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Finding the Fourth Proportional to 7,757.77, 11,548.91 and 7,711.64

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Solution

The fourth proportional to 7,757.77, 11,548.91 and 7,711.64 is: 11,480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.77 : 11,548.91 = 7,711.64 : x
  2. Step 2: Convert to fraction form
    7,757.77/11,548.91 = 7,711.64/x
  3. Step 3: Cross multiply
    7,757.77x = 11,548.91 × 7,711.64
  4. Step 4: Simplify right side
    7,757.77x = 89,061,012.24
  5. Step 5: Solve for x
    x = 89,061,012.24/7,757.77
  6. Step 6: Final answer
    x = 11,480.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.