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Finding the Fourth Proportional to 7,107.92, 9,808.74 and 4,082.96

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Solution

The fourth proportional to 7,107.92, 9,808.74 and 4,082.96 is: 5,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.92 : 9,808.74 = 4,082.96 : x
  2. Step 2: Convert to fraction form
    7,107.92/9,808.74 = 4,082.96/x
  3. Step 3: Cross multiply
    7,107.92x = 9,808.74 × 4,082.96
  4. Step 4: Simplify right side
    7,107.92x = 40,048,693.07
  5. Step 5: Solve for x
    x = 40,048,693.07/7,107.92
  6. Step 6: Final answer
    x = 5,634.38

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Find fourth proportional to 3,553.96, 4,904.37 and 2,041.48
Half scale
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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.