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Finding the Fourth Proportional to 7,774.80, 11,647.08 and 6,943.92

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Solution

The fourth proportional to 7,774.80, 11,647.08 and 6,943.92 is: 10,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.80 : 11,647.08 = 6,943.92 : x
  2. Step 2: Convert to fraction form
    7,774.80/11,647.08 = 6,943.92/x
  3. Step 3: Cross multiply
    7,774.80x = 11,647.08 × 6,943.92
  4. Step 4: Simplify right side
    7,774.80x = 80,876,391.75
  5. Step 5: Solve for x
    x = 80,876,391.75/7,774.80
  6. Step 6: Final answer
    x = 10,402.38

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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.