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Finding the Fourth Proportional to 3,746.40, 5,627.70 and 3,608.70

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Solution

The fourth proportional to 3,746.40, 5,627.70 and 3,608.70 is: 5,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.40 : 5,627.70 = 3,608.70 : x
  2. Step 2: Convert to fraction form
    3,746.40/5,627.70 = 3,608.70/x
  3. Step 3: Cross multiply
    3,746.40x = 5,627.70 × 3,608.70
  4. Step 4: Simplify right side
    3,746.40x = 20,308,680.99
  5. Step 5: Solve for x
    x = 20,308,680.99/3,746.40
  6. Step 6: Final answer
    x = 5,420.85

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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.