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Finding the Fourth Proportional to 3,805.80, 5,709.78 and 3,527.16

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Solution

The fourth proportional to 3,805.80, 5,709.78 and 3,527.16 is: 5,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.80 : 5,709.78 = 3,527.16 : x
  2. Step 2: Convert to fraction form
    3,805.80/5,709.78 = 3,527.16/x
  3. Step 3: Cross multiply
    3,805.80x = 5,709.78 × 3,527.16
  4. Step 4: Simplify right side
    3,805.80x = 20,139,307.62
  5. Step 5: Solve for x
    x = 20,139,307.62/3,805.80
  6. Step 6: Final answer
    x = 5,291.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.