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Finding the Fourth Proportional to 7,760.84, 10,709.96 and 4,224.04

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Solution

The fourth proportional to 7,760.84, 10,709.96 and 4,224.04 is: 5,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.84 : 10,709.96 = 4,224.04 : x
  2. Step 2: Convert to fraction form
    7,760.84/10,709.96 = 4,224.04/x
  3. Step 3: Cross multiply
    7,760.84x = 10,709.96 × 4,224.04
  4. Step 4: Simplify right side
    7,760.84x = 45,239,251.54
  5. Step 5: Solve for x
    x = 45,239,251.54/7,760.84
  6. Step 6: Final answer
    x = 5,829.17

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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.