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Finding the Fourth Proportional to 7,083.60, 9,774.90 and 3,896.28

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Solution

The fourth proportional to 7,083.60, 9,774.90 and 3,896.28 is: 5,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.60 : 9,774.90 = 3,896.28 : x
  2. Step 2: Convert to fraction form
    7,083.60/9,774.90 = 3,896.28/x
  3. Step 3: Cross multiply
    7,083.60x = 9,774.90 × 3,896.28
  4. Step 4: Simplify right side
    7,083.60x = 38,085,747.37
  5. Step 5: Solve for x
    x = 38,085,747.37/7,083.60
  6. Step 6: Final answer
    x = 5,376.61

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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.