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Finding the Fourth Proportional to 3,780.48, 5,680.48 and 3,420.88

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Solution

The fourth proportional to 3,780.48, 5,680.48 and 3,420.88 is: 5,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.48 : 5,680.48 = 3,420.88 : x
  2. Step 2: Convert to fraction form
    3,780.48/5,680.48 = 3,420.88/x
  3. Step 3: Cross multiply
    3,780.48x = 5,680.48 × 3,420.88
  4. Step 4: Simplify right side
    3,780.48x = 19,432,240.42
  5. Step 5: Solve for x
    x = 19,432,240.42/3,780.48
  6. Step 6: Final answer
    x = 5,140.15

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1.5x scale

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.