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Finding the Fourth Proportional to 4,781.76, 7,200.60 and 4,172.76

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Solution

The fourth proportional to 4,781.76, 7,200.60 and 4,172.76 is: 6,283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.76 : 7,200.60 = 4,172.76 : x
  2. Step 2: Convert to fraction form
    4,781.76/7,200.60 = 4,172.76/x
  3. Step 3: Cross multiply
    4,781.76x = 7,200.60 × 4,172.76
  4. Step 4: Simplify right side
    4,781.76x = 30,046,375.66
  5. Step 5: Solve for x
    x = 30,046,375.66/4,781.76
  6. Step 6: Final answer
    x = 6,283.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.