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Finding the Fourth Proportional to 7,771.30, 11,656.94 and 1,927.91

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Solution

The fourth proportional to 7,771.30, 11,656.94 and 1,927.91 is: 2,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.30 : 11,656.94 = 1,927.91 : x
  2. Step 2: Convert to fraction form
    7,771.30/11,656.94 = 1,927.91/x
  3. Step 3: Cross multiply
    7,771.30x = 11,656.94 × 1,927.91
  4. Step 4: Simplify right side
    7,771.30x = 22,473,531.20
  5. Step 5: Solve for x
    x = 22,473,531.20/7,771.30
  6. Step 6: Final answer
    x = 2,891.86

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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.