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Finding the Fourth Proportional to 5,723.93, 7,897.23 and 3,205.70

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Solution

The fourth proportional to 5,723.93, 7,897.23 and 3,205.70 is: 4,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.93 : 7,897.23 = 3,205.70 : x
  2. Step 2: Convert to fraction form
    5,723.93/7,897.23 = 3,205.70/x
  3. Step 3: Cross multiply
    5,723.93x = 7,897.23 × 3,205.70
  4. Step 4: Simplify right side
    5,723.93x = 25,316,150.21
  5. Step 5: Solve for x
    x = 25,316,150.21/5,723.93
  6. Step 6: Final answer
    x = 4,422.86

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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.