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Finding the Fourth Proportional to 3,784.75, 5,680.65 and 1,937.20

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Solution

The fourth proportional to 3,784.75, 5,680.65 and 1,937.20 is: 2,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.75 : 5,680.65 = 1,937.20 : x
  2. Step 2: Convert to fraction form
    3,784.75/5,680.65 = 1,937.20/x
  3. Step 3: Cross multiply
    3,784.75x = 5,680.65 × 1,937.20
  4. Step 4: Simplify right side
    3,784.75x = 11,004,555.18
  5. Step 5: Solve for x
    x = 11,004,555.18/3,784.75
  6. Step 6: Final answer
    x = 2,907.60

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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.