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Finding the Fourth Proportional to 7,760.96, 10,709.79 and 4,224.20

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Solution

The fourth proportional to 7,760.96, 10,709.79 and 4,224.20 is: 5,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.96 : 10,709.79 = 4,224.20 : x
  2. Step 2: Convert to fraction form
    7,760.96/10,709.79 = 4,224.20/x
  3. Step 3: Cross multiply
    7,760.96x = 10,709.79 × 4,224.20
  4. Step 4: Simplify right side
    7,760.96x = 45,240,294.92
  5. Step 5: Solve for x
    x = 45,240,294.92/7,760.96
  6. Step 6: Final answer
    x = 5,829.21

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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.