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Finding the Fourth Proportional to 6,086.88, 9,136.80 and 3,780

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Solution

The fourth proportional to 6,086.88, 9,136.80 and 3,780 is: 5,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.88 : 9,136.80 = 3,780 : x
  2. Step 2: Convert to fraction form
    6,086.88/9,136.80 = 3,780/x
  3. Step 3: Cross multiply
    6,086.88x = 9,136.80 × 3,780
  4. Step 4: Simplify right side
    6,086.88x = 34,537,104
  5. Step 5: Solve for x
    x = 34,537,104/6,086.88
  6. Step 6: Final answer
    x = 5,674.02

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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.