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Finding the Fourth Proportional to 5,623.75, 7,760.79 and 3,139.75

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Solution

The fourth proportional to 5,623.75, 7,760.79 and 3,139.75 is: 4,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.75 : 7,760.79 = 3,139.75 : x
  2. Step 2: Convert to fraction form
    5,623.75/7,760.79 = 3,139.75/x
  3. Step 3: Cross multiply
    5,623.75x = 7,760.79 × 3,139.75
  4. Step 4: Simplify right side
    5,623.75x = 24,366,940.40
  5. Step 5: Solve for x
    x = 24,366,940.40/5,623.75
  6. Step 6: Final answer
    x = 4,332.86

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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.