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Finding the Fourth Proportional to 5,723.71, 7,897.80 and 3,205.93

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Solution

The fourth proportional to 5,723.71, 7,897.80 and 3,205.93 is: 4,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.71 : 7,897.80 = 3,205.93 : x
  2. Step 2: Convert to fraction form
    5,723.71/7,897.80 = 3,205.93/x
  3. Step 3: Cross multiply
    5,723.71x = 7,897.80 × 3,205.93
  4. Step 4: Simplify right side
    5,723.71x = 25,319,801.04
  5. Step 5: Solve for x
    x = 25,319,801.04/5,723.71
  6. Step 6: Final answer
    x = 4,423.67

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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.