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Finding the Fourth Proportional to 4,938.06, 7,405.98 and 1,428.06

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Solution

The fourth proportional to 4,938.06, 7,405.98 and 1,428.06 is: 2,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.06 : 7,405.98 = 1,428.06 : x
  2. Step 2: Convert to fraction form
    4,938.06/7,405.98 = 1,428.06/x
  3. Step 3: Cross multiply
    4,938.06x = 7,405.98 × 1,428.06
  4. Step 4: Simplify right side
    4,938.06x = 10,576,183.80
  5. Step 5: Solve for x
    x = 10,576,183.80/4,938.06
  6. Step 6: Final answer
    x = 2,141.77

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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.