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Finding the Fourth Proportional to 3,780, 5,668.53 and 2,220.40

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Solution

The fourth proportional to 3,780, 5,668.53 and 2,220.40 is: 3,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 5,668.53 = 2,220.40 : x
  2. Step 2: Convert to fraction form
    3,780/5,668.53 = 2,220.40/x
  3. Step 3: Cross multiply
    3,780x = 5,668.53 × 2,220.40
  4. Step 4: Simplify right side
    3,780x = 12,586,402.77
  5. Step 5: Solve for x
    x = 12,586,402.77/3,780
  6. Step 6: Final answer
    x = 3,329.74

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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.