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Finding the Fourth Proportional to 5,640.84, 7,774.79 and 4,311.63

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Solution

The fourth proportional to 5,640.84, 7,774.79 and 4,311.63 is: 5,942.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.84 : 7,774.79 = 4,311.63 : x
  2. Step 2: Convert to fraction form
    5,640.84/7,774.79 = 4,311.63/x
  3. Step 3: Cross multiply
    5,640.84x = 7,774.79 × 4,311.63
  4. Step 4: Simplify right side
    5,640.84x = 33,521,996.25
  5. Step 5: Solve for x
    x = 33,521,996.25/5,640.84
  6. Step 6: Final answer
    x = 5,942.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.