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Finding the Fourth Proportional to 5,661.57, 7,811.80 and 3,423.54

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Solution

The fourth proportional to 5,661.57, 7,811.80 and 3,423.54 is: 4,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.57 : 7,811.80 = 3,423.54 : x
  2. Step 2: Convert to fraction form
    5,661.57/7,811.80 = 3,423.54/x
  3. Step 3: Cross multiply
    5,661.57x = 7,811.80 × 3,423.54
  4. Step 4: Simplify right side
    5,661.57x = 26,743,953.60
  5. Step 5: Solve for x
    x = 26,743,953.60/5,661.57
  6. Step 6: Final answer
    x = 4,723.77

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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.