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Finding the Fourth Proportional to 7,760.78, 10,709.92 and 4,224.02

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Solution

The fourth proportional to 7,760.78, 10,709.92 and 4,224.02 is: 5,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.78 : 10,709.92 = 4,224.02 : x
  2. Step 2: Convert to fraction form
    7,760.78/10,709.92 = 4,224.02/x
  3. Step 3: Cross multiply
    7,760.78x = 10,709.92 × 4,224.02
  4. Step 4: Simplify right side
    7,760.78x = 45,238,868.01
  5. Step 5: Solve for x
    x = 45,238,868.01/7,760.78
  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.