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Finding the Fourth Proportional to 4,889.70, 7,298.78 and 4,200.80

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Solution

The fourth proportional to 4,889.70, 7,298.78 and 4,200.80 is: 6,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.70 : 7,298.78 = 4,200.80 : x
  2. Step 2: Convert to fraction form
    4,889.70/7,298.78 = 4,200.80/x
  3. Step 3: Cross multiply
    4,889.70x = 7,298.78 × 4,200.80
  4. Step 4: Simplify right side
    4,889.70x = 30,660,657.53
  5. Step 5: Solve for x
    x = 30,660,657.53/4,889.70
  6. Step 6: Final answer
    x = 6,270.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.