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Finding the Fourth Proportional to 2,902.65, 4,353.81 and 1,028.41

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Solution

The fourth proportional to 2,902.65, 4,353.81 and 1,028.41 is: 1,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.65 : 4,353.81 = 1,028.41 : x
  2. Step 2: Convert to fraction form
    2,902.65/4,353.81 = 1,028.41/x
  3. Step 3: Cross multiply
    2,902.65x = 4,353.81 × 1,028.41
  4. Step 4: Simplify right side
    2,902.65x = 4,477,501.74
  5. Step 5: Solve for x
    x = 4,477,501.74/2,902.65
  6. Step 6: Final answer
    x = 1,542.56

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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.